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