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Simplifying 5(x + 2) + -3x = 3(x + 5) Reorder the terms: 5(2 + x) + -3x = 3(x + 5) (2 * 5 + x * 5) + -3x = 3(x + 5) (10 + 5x) + -3x = 3(x + 5) Combine like terms: 5x + -3x = 2x 10 + 2x = 3(x + 5) Reorder the terms: 10 + 2x = 3(5 + x) 10 + 2x = (5 * 3 + x * 3) 10 + 2x = (15 + 3x) Solving 10 + 2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 2x + -3x = 15 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 15 + 0 10 + -1x = 15 Add '-10' to each side of the equation. 10 + -10 + -1x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 15 + -10 -1x = 15 + -10 Combine like terms: 15 + -10 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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