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Simplifying 2(x + 1) + 3 = 5(x + -5) Reorder the terms: 2(1 + x) + 3 = 5(x + -5) (1 * 2 + x * 2) + 3 = 5(x + -5) (2 + 2x) + 3 = 5(x + -5) Reorder the terms: 2 + 3 + 2x = 5(x + -5) Combine like terms: 2 + 3 = 5 5 + 2x = 5(x + -5) Reorder the terms: 5 + 2x = 5(-5 + x) 5 + 2x = (-5 * 5 + x * 5) 5 + 2x = (-25 + 5x) Solving 5 + 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. 5 + 2x + -5x = -25 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = -25 + 0 5 + -3x = -25 Add '-5' to each side of the equation. 5 + -5 + -3x = -25 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -25 + -5 -3x = -25 + -5 Combine like terms: -25 + -5 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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