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Simplifying 6(x + 3) + -5(x + -4) + -7 = 0 Reorder the terms: 6(3 + x) + -5(x + -4) + -7 = 0 (3 * 6 + x * 6) + -5(x + -4) + -7 = 0 (18 + 6x) + -5(x + -4) + -7 = 0 Reorder the terms: 18 + 6x + -5(-4 + x) + -7 = 0 18 + 6x + (-4 * -5 + x * -5) + -7 = 0 18 + 6x + (20 + -5x) + -7 = 0 Reorder the terms: 18 + 20 + -7 + 6x + -5x = 0 Combine like terms: 18 + 20 = 38 38 + -7 + 6x + -5x = 0 Combine like terms: 38 + -7 = 31 31 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 31 + 1x = 0 Solving 31 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 1x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 0 + -31 1x = 0 + -31 Combine like terms: 0 + -31 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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