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Simplifying 2(x + 8) = 5(x + -2) Reorder the terms: 2(8 + x) = 5(x + -2) (8 * 2 + x * 2) = 5(x + -2) (16 + 2x) = 5(x + -2) Reorder the terms: 16 + 2x = 5(-2 + x) 16 + 2x = (-2 * 5 + x * 5) 16 + 2x = (-10 + 5x) Solving 16 + 2x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 2x + -5x = -10 + 5x + -5x Combine like terms: 2x + -5x = -3x 16 + -3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -3x = -10 + 0 16 + -3x = -10 Add '-16' to each side of the equation. 16 + -16 + -3x = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -10 + -16 -3x = -10 + -16 Combine like terms: -10 + -16 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667
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