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Simplifying 2(2 + -1x) = 3(x + 8) (2 * 2 + -1x * 2) = 3(x + 8) (4 + -2x) = 3(x + 8) Reorder the terms: 4 + -2x = 3(8 + x) 4 + -2x = (8 * 3 + x * 3) 4 + -2x = (24 + 3x) Solving 4 + -2x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -2x + -3x = 24 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = 24 + 0 4 + -5x = 24 Add '-4' to each side of the equation. 4 + -4 + -5x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 24 + -4 -5x = 24 + -4 Combine like terms: 24 + -4 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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