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Simplifying 2(x + 5) + -3 = 5(x + 2) + -9 Reorder the terms: 2(5 + x) + -3 = 5(x + 2) + -9 (5 * 2 + x * 2) + -3 = 5(x + 2) + -9 (10 + 2x) + -3 = 5(x + 2) + -9 Reorder the terms: 10 + -3 + 2x = 5(x + 2) + -9 Combine like terms: 10 + -3 = 7 7 + 2x = 5(x + 2) + -9 Reorder the terms: 7 + 2x = 5(2 + x) + -9 7 + 2x = (2 * 5 + x * 5) + -9 7 + 2x = (10 + 5x) + -9 Reorder the terms: 7 + 2x = 10 + -9 + 5x Combine like terms: 10 + -9 = 1 7 + 2x = 1 + 5x Solving 7 + 2x = 1 + 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. 7 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x 7 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -3x = 1 + 0 7 + -3x = 1 Add '-7' to each side of the equation. 7 + -7 + -3x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 1 + -7 -3x = 1 + -7 Combine like terms: 1 + -7 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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