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Simplifying 2(x + 1) + -5(x + -2) = 0 Reorder the terms: 2(1 + x) + -5(x + -2) = 0 (1 * 2 + x * 2) + -5(x + -2) = 0 (2 + 2x) + -5(x + -2) = 0 Reorder the terms: 2 + 2x + -5(-2 + x) = 0 2 + 2x + (-2 * -5 + x * -5) = 0 2 + 2x + (10 + -5x) = 0 Reorder the terms: 2 + 10 + 2x + -5x = 0 Combine like terms: 2 + 10 = 12 12 + 2x + -5x = 0 Combine like terms: 2x + -5x = -3x 12 + -3x = 0 Solving 12 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 0 + -12 -3x = 0 + -12 Combine like terms: 0 + -12 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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