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Simplifying 3(x + 10) = -2(x + -5) Reorder the terms: 3(10 + x) = -2(x + -5) (10 * 3 + x * 3) = -2(x + -5) (30 + 3x) = -2(x + -5) Reorder the terms: 30 + 3x = -2(-5 + x) 30 + 3x = (-5 * -2 + x * -2) 30 + 3x = (10 + -2x) Solving 30 + 3x = 10 + -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. 30 + 3x + 2x = 10 + -2x + 2x Combine like terms: 3x + 2x = 5x 30 + 5x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 5x = 10 + 0 30 + 5x = 10 Add '-30' to each side of the equation. 30 + -30 + 5x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 10 + -30 5x = 10 + -30 Combine like terms: 10 + -30 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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