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Simplifying 2x + -2[4(2x + -1) + -2(2 + -4x) + -8] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] Reorder the terms: 2x + -2[4(-1 + 2x) + -2(2 + -4x) + -8] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + -2[(-1 * 4 + 2x * 4) + -2(2 + -4x) + -8] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + -2[(-4 + 8x) + -2(2 + -4x) + -8] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + -2[-4 + 8x + (2 * -2 + -4x * -2) + -8] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + -2[-4 + 8x + (-4 + 8x) + -8] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] Reorder the terms: 2x + -2[-4 + -4 + -8 + 8x + 8x] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] Combine like terms: -4 + -4 = -8 2x + -2[-8 + -8 + 8x + 8x] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] Combine like terms: -8 + -8 = -16 2x + -2[-16 + 8x + 8x] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] Combine like terms: 8x + 8x = 16x 2x + -2[-16 + 16x] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + [-16 * -2 + 16x * -2] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + [32 + -32x] + 4(3 + -1x) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + 32 + -32x + (3 * 4 + -1x * 4) = 2(x + 5) + -5[2(3 + -1x) + 4] 2x + 32 + -32x + (12 + -4x) = 2(x + 5) + -5[2(3 + -1x) + 4] Reorder the terms: 32 + 12 + 2x + -32x + -4x = 2(x + 5) + -5[2(3 + -1x) + 4] Combine like terms: 32 + 12 = 44 44 + 2x + -32x + -4x = 2(x + 5) + -5[2(3 + -1x) + 4] Combine like terms: 2x + -32x = -30x 44 + -30x + -4x = 2(x + 5) + -5[2(3 + -1x) + 4] Combine like terms: -30x + -4x = -34x 44 + -34x = 2(x + 5) + -5[2(3 + -1x) + 4] Reorder the terms: 44 + -34x = 2(5 + x) + -5[2(3 + -1x) + 4] 44 + -34x = (5 * 2 + x * 2) + -5[2(3 + -1x) + 4] 44 + -34x = (10 + 2x) + -5[2(3 + -1x) + 4] 44 + -34x = 10 + 2x + -5[(3 * 2 + -1x * 2) + 4] 44 + -34x = 10 + 2x + -5[(6 + -2x) + 4] Reorder the terms: 44 + -34x = 10 + 2x + -5[6 + 4 + -2x] Combine like terms: 6 + 4 = 10 44 + -34x = 10 + 2x + -5[10 + -2x] 44 + -34x = 10 + 2x + [10 * -5 + -2x * -5] 44 + -34x = 10 + 2x + [-50 + 10x] Reorder the terms: 44 + -34x = 10 + -50 + 2x + 10x Combine like terms: 10 + -50 = -40 44 + -34x = -40 + 2x + 10x Combine like terms: 2x + 10x = 12x 44 + -34x = -40 + 12x Solving 44 + -34x = -40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 44 + -34x + -12x = -40 + 12x + -12x Combine like terms: -34x + -12x = -46x 44 + -46x = -40 + 12x + -12x Combine like terms: 12x + -12x = 0 44 + -46x = -40 + 0 44 + -46x = -40 Add '-44' to each side of the equation. 44 + -44 + -46x = -40 + -44 Combine like terms: 44 + -44 = 0 0 + -46x = -40 + -44 -46x = -40 + -44 Combine like terms: -40 + -44 = -84 -46x = -84 Divide each side by '-46'. x = 1.826086957 Simplifying x = 1.826086957
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