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Simplifying 3(x + 2) + -2(x + -7) = 0 Reorder the terms: 3(2 + x) + -2(x + -7) = 0 (2 * 3 + x * 3) + -2(x + -7) = 0 (6 + 3x) + -2(x + -7) = 0 Reorder the terms: 6 + 3x + -2(-7 + x) = 0 6 + 3x + (-7 * -2 + x * -2) = 0 6 + 3x + (14 + -2x) = 0 Reorder the terms: 6 + 14 + 3x + -2x = 0 Combine like terms: 6 + 14 = 20 20 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x 20 + 1x = 0 Solving 20 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 0 + -20 1x = 0 + -20 Combine like terms: 0 + -20 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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