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Simplifying 2(x + 5) + -10 = -3(x + -3) + 31 Reorder the terms: 2(5 + x) + -10 = -3(x + -3) + 31 (5 * 2 + x * 2) + -10 = -3(x + -3) + 31 (10 + 2x) + -10 = -3(x + -3) + 31 Reorder the terms: 10 + -10 + 2x = -3(x + -3) + 31 Combine like terms: 10 + -10 = 0 0 + 2x = -3(x + -3) + 31 2x = -3(x + -3) + 31 Reorder the terms: 2x = -3(-3 + x) + 31 2x = (-3 * -3 + x * -3) + 31 2x = (9 + -3x) + 31 Reorder the terms: 2x = 9 + 31 + -3x Combine like terms: 9 + 31 = 40 2x = 40 + -3x Solving 2x = 40 + -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. 2x + 3x = 40 + -3x + 3x Combine like terms: 2x + 3x = 5x 5x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 5x = 40 + 0 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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