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Simplifying 2(x + 4) = 5(x + -5) Reorder the terms: 2(4 + x) = 5(x + -5) (4 * 2 + x * 2) = 5(x + -5) (8 + 2x) = 5(x + -5) Reorder the terms: 8 + 2x = 5(-5 + x) 8 + 2x = (-5 * 5 + x * 5) 8 + 2x = (-25 + 5x) Solving 8 + 2x = -25 + 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. 8 + 2x + -5x = -25 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = -25 + 0 8 + -3x = -25 Add '-8' to each side of the equation. 8 + -8 + -3x = -25 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -25 + -8 -3x = -25 + -8 Combine like terms: -25 + -8 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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