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Simplifying 5 + -1(2x + -3) = 4(3x + 4) + -1[6(4x + 2) + -3] Reorder the terms: 5 + -1(-3 + 2x) = 4(3x + 4) + -1[6(4x + 2) + -3] 5 + (-3 * -1 + 2x * -1) = 4(3x + 4) + -1[6(4x + 2) + -3] 5 + (3 + -2x) = 4(3x + 4) + -1[6(4x + 2) + -3] Combine like terms: 5 + 3 = 8 8 + -2x = 4(3x + 4) + -1[6(4x + 2) + -3] Reorder the terms: 8 + -2x = 4(4 + 3x) + -1[6(4x + 2) + -3] 8 + -2x = (4 * 4 + 3x * 4) + -1[6(4x + 2) + -3] 8 + -2x = (16 + 12x) + -1[6(4x + 2) + -3] Reorder the terms: 8 + -2x = 16 + 12x + -1[6(2 + 4x) + -3] 8 + -2x = 16 + 12x + -1[(2 * 6 + 4x * 6) + -3] 8 + -2x = 16 + 12x + -1[(12 + 24x) + -3] Reorder the terms: 8 + -2x = 16 + 12x + -1[12 + -3 + 24x] Combine like terms: 12 + -3 = 9 8 + -2x = 16 + 12x + -1[9 + 24x] 8 + -2x = 16 + 12x + [9 * -1 + 24x * -1] 8 + -2x = 16 + 12x + [-9 + -24x] Reorder the terms: 8 + -2x = 16 + -9 + 12x + -24x Combine like terms: 16 + -9 = 7 8 + -2x = 7 + 12x + -24x Combine like terms: 12x + -24x = -12x 8 + -2x = 7 + -12x Solving 8 + -2x = 7 + -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. 8 + -2x + 12x = 7 + -12x + 12x Combine like terms: -2x + 12x = 10x 8 + 10x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 10x = 7 + 0 8 + 10x = 7 Add '-8' to each side of the equation. 8 + -8 + 10x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 7 + -8 10x = 7 + -8 Combine like terms: 7 + -8 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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