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Simplifying 3(x + 6) + -2(x + -7) + -5 = 0 Reorder the terms: 3(6 + x) + -2(x + -7) + -5 = 0 (6 * 3 + x * 3) + -2(x + -7) + -5 = 0 (18 + 3x) + -2(x + -7) + -5 = 0 Reorder the terms: 18 + 3x + -2(-7 + x) + -5 = 0 18 + 3x + (-7 * -2 + x * -2) + -5 = 0 18 + 3x + (14 + -2x) + -5 = 0 Reorder the terms: 18 + 14 + -5 + 3x + -2x = 0 Combine like terms: 18 + 14 = 32 32 + -5 + 3x + -2x = 0 Combine like terms: 32 + -5 = 27 27 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x 27 + 1x = 0 Solving 27 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 0 + -27 1x = 0 + -27 Combine like terms: 0 + -27 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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