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Simplifying 2(x + 5) + 9 = 5(x + -1) Reorder the terms: 2(5 + x) + 9 = 5(x + -1) (5 * 2 + x * 2) + 9 = 5(x + -1) (10 + 2x) + 9 = 5(x + -1) Reorder the terms: 10 + 9 + 2x = 5(x + -1) Combine like terms: 10 + 9 = 19 19 + 2x = 5(x + -1) Reorder the terms: 19 + 2x = 5(-1 + x) 19 + 2x = (-1 * 5 + x * 5) 19 + 2x = (-5 + 5x) Solving 19 + 2x = -5 + 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. 19 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 19 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -3x = -5 + 0 19 + -3x = -5 Add '-19' to each side of the equation. 19 + -19 + -3x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = -5 + -19 -3x = -5 + -19 Combine like terms: -5 + -19 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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