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Simplifying 6(x + 3) + -1(5x + -6) = 7 Reorder the terms: 6(3 + x) + -1(5x + -6) = 7 (3 * 6 + x * 6) + -1(5x + -6) = 7 (18 + 6x) + -1(5x + -6) = 7 Reorder the terms: 18 + 6x + -1(-6 + 5x) = 7 18 + 6x + (-6 * -1 + 5x * -1) = 7 18 + 6x + (6 + -5x) = 7 Reorder the terms: 18 + 6 + 6x + -5x = 7 Combine like terms: 18 + 6 = 24 24 + 6x + -5x = 7 Combine like terms: 6x + -5x = 1x 24 + 1x = 7 Solving 24 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 7 + -24 1x = 7 + -24 Combine like terms: 7 + -24 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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