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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 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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