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Simplifying 180 + -1(6x + -7) = (3x + -29) Reorder the terms: 180 + -1(-7 + 6x) = (3x + -29) 180 + (-7 * -1 + 6x * -1) = (3x + -29) 180 + (7 + -6x) = (3x + -29) Combine like terms: 180 + 7 = 187 187 + -6x = (3x + -29) Reorder the terms: 187 + -6x = (-29 + 3x) Remove parenthesis around (-29 + 3x) 187 + -6x = -29 + 3x Solving 187 + -6x = -29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 187 + -6x + -3x = -29 + 3x + -3x Combine like terms: -6x + -3x = -9x 187 + -9x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 187 + -9x = -29 + 0 187 + -9x = -29 Add '-187' to each side of the equation. 187 + -187 + -9x = -29 + -187 Combine like terms: 187 + -187 = 0 0 + -9x = -29 + -187 -9x = -29 + -187 Combine like terms: -29 + -187 = -216 -9x = -216 Divide each side by '-9'. x = 24 Simplifying x = 24
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