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Simplifying 5 + 2(x + 5) = 10 + -3(x + 5) Reorder the terms: 5 + 2(5 + x) = 10 + -3(x + 5) 5 + (5 * 2 + x * 2) = 10 + -3(x + 5) 5 + (10 + 2x) = 10 + -3(x + 5) Combine like terms: 5 + 10 = 15 15 + 2x = 10 + -3(x + 5) Reorder the terms: 15 + 2x = 10 + -3(5 + x) 15 + 2x = 10 + (5 * -3 + x * -3) 15 + 2x = 10 + (-15 + -3x) Combine like terms: 10 + -15 = -5 15 + 2x = -5 + -3x Solving 15 + 2x = -5 + -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. 15 + 2x + 3x = -5 + -3x + 3x Combine like terms: 2x + 3x = 5x 15 + 5x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 5x = -5 + 0 15 + 5x = -5 Add '-15' to each side of the equation. 15 + -15 + 5x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = -5 + -15 5x = -5 + -15 Combine like terms: -5 + -15 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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