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Simplifying 3(x + 6) + -1(x + -7) = 7 Reorder the terms: 3(6 + x) + -1(x + -7) = 7 (6 * 3 + x * 3) + -1(x + -7) = 7 (18 + 3x) + -1(x + -7) = 7 Reorder the terms: 18 + 3x + -1(-7 + x) = 7 18 + 3x + (-7 * -1 + x * -1) = 7 18 + 3x + (7 + -1x) = 7 Reorder the terms: 18 + 7 + 3x + -1x = 7 Combine like terms: 18 + 7 = 25 25 + 3x + -1x = 7 Combine like terms: 3x + -1x = 2x 25 + 2x = 7 Solving 25 + 2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2x = 7 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 7 + -25 2x = 7 + -25 Combine like terms: 7 + -25 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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