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Simplifying -10 + 2x + 3(5 + -1x) = 0.5(4x + -8) -10 + 2x + (5 * 3 + -1x * 3) = 0.5(4x + -8) -10 + 2x + (15 + -3x) = 0.5(4x + -8) Reorder the terms: -10 + 15 + 2x + -3x = 0.5(4x + -8) Combine like terms: -10 + 15 = 5 5 + 2x + -3x = 0.5(4x + -8) Combine like terms: 2x + -3x = -1x 5 + -1x = 0.5(4x + -8) Reorder the terms: 5 + -1x = 0.5(-8 + 4x) 5 + -1x = (-8 * 0.5 + 4x * 0.5) 5 + -1x = (-4 + 2x) Solving 5 + -1x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -1x + -2x = -4 + 2x + -2x Combine like terms: -1x + -2x = -3x 5 + -3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -3x = -4 + 0 5 + -3x = -4 Add '-5' to each side of the equation. 5 + -5 + -3x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -4 + -5 -3x = -4 + -5 Combine like terms: -4 + -5 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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