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Simplifying 3(x + -4) + -4(x + 1) + -2(x + -5) = 8(x + 4) + -4 Reorder the terms: 3(-4 + x) + -4(x + 1) + -2(x + -5) = 8(x + 4) + -4 (-4 * 3 + x * 3) + -4(x + 1) + -2(x + -5) = 8(x + 4) + -4 (-12 + 3x) + -4(x + 1) + -2(x + -5) = 8(x + 4) + -4 Reorder the terms: -12 + 3x + -4(1 + x) + -2(x + -5) = 8(x + 4) + -4 -12 + 3x + (1 * -4 + x * -4) + -2(x + -5) = 8(x + 4) + -4 -12 + 3x + (-4 + -4x) + -2(x + -5) = 8(x + 4) + -4 Reorder the terms: -12 + 3x + -4 + -4x + -2(-5 + x) = 8(x + 4) + -4 -12 + 3x + -4 + -4x + (-5 * -2 + x * -2) = 8(x + 4) + -4 -12 + 3x + -4 + -4x + (10 + -2x) = 8(x + 4) + -4 Reorder the terms: -12 + -4 + 10 + 3x + -4x + -2x = 8(x + 4) + -4 Combine like terms: -12 + -4 = -16 -16 + 10 + 3x + -4x + -2x = 8(x + 4) + -4 Combine like terms: -16 + 10 = -6 -6 + 3x + -4x + -2x = 8(x + 4) + -4 Combine like terms: 3x + -4x = -1x -6 + -1x + -2x = 8(x + 4) + -4 Combine like terms: -1x + -2x = -3x -6 + -3x = 8(x + 4) + -4 Reorder the terms: -6 + -3x = 8(4 + x) + -4 -6 + -3x = (4 * 8 + x * 8) + -4 -6 + -3x = (32 + 8x) + -4 Reorder the terms: -6 + -3x = 32 + -4 + 8x Combine like terms: 32 + -4 = 28 -6 + -3x = 28 + 8x Solving -6 + -3x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + -3x + -8x = 28 + 8x + -8x Combine like terms: -3x + -8x = -11x -6 + -11x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -11x = 28 + 0 -6 + -11x = 28 Add '6' to each side of the equation. -6 + 6 + -11x = 28 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = 28 + 6 -11x = 28 + 6 Combine like terms: 28 + 6 = 34 -11x = 34 Divide each side by '-11'. x = -3.090909091 Simplifying x = -3.090909091
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