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Simplifying 6(x + 4) + -5(x + -3) + -7 = 0 Reorder the terms: 6(4 + x) + -5(x + -3) + -7 = 0 (4 * 6 + x * 6) + -5(x + -3) + -7 = 0 (24 + 6x) + -5(x + -3) + -7 = 0 Reorder the terms: 24 + 6x + -5(-3 + x) + -7 = 0 24 + 6x + (-3 * -5 + x * -5) + -7 = 0 24 + 6x + (15 + -5x) + -7 = 0 Reorder the terms: 24 + 15 + -7 + 6x + -5x = 0 Combine like terms: 24 + 15 = 39 39 + -7 + 6x + -5x = 0 Combine like terms: 39 + -7 = 32 32 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 32 + 1x = 0 Solving 32 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 0 + -32 1x = 0 + -32 Combine like terms: 0 + -32 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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