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Simplifying 5(x + 3) + -15 = -2(x + -5) + 39 Reorder the terms: 5(3 + x) + -15 = -2(x + -5) + 39 (3 * 5 + x * 5) + -15 = -2(x + -5) + 39 (15 + 5x) + -15 = -2(x + -5) + 39 Reorder the terms: 15 + -15 + 5x = -2(x + -5) + 39 Combine like terms: 15 + -15 = 0 0 + 5x = -2(x + -5) + 39 5x = -2(x + -5) + 39 Reorder the terms: 5x = -2(-5 + x) + 39 5x = (-5 * -2 + x * -2) + 39 5x = (10 + -2x) + 39 Reorder the terms: 5x = 10 + 39 + -2x Combine like terms: 10 + 39 = 49 5x = 49 + -2x Solving 5x = 49 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5x + 2x = 49 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 49 + 0 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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