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Simplifying 2x + 2 = 5(x + -5) Reorder the terms: 2 + 2x = 5(x + -5) Reorder the terms: 2 + 2x = 5(-5 + x) 2 + 2x = (-5 * 5 + x * 5) 2 + 2x = (-25 + 5x) Solving 2 + 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. 2 + 2x + -5x = -25 + 5x + -5x Combine like terms: 2x + -5x = -3x 2 + -3x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -3x = -25 + 0 2 + -3x = -25 Add '-2' to each side of the equation. 2 + -2 + -3x = -25 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -25 + -2 -3x = -25 + -2 Combine like terms: -25 + -2 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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