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Simplifying 129 = (6x + -33) + (8x + -76) Reorder the terms: 129 = (-33 + 6x) + (8x + -76) Remove parenthesis around (-33 + 6x) 129 = -33 + 6x + (8x + -76) Reorder the terms: 129 = -33 + 6x + (-76 + 8x) Remove parenthesis around (-76 + 8x) 129 = -33 + 6x + -76 + 8x Reorder the terms: 129 = -33 + -76 + 6x + 8x Combine like terms: -33 + -76 = -109 129 = -109 + 6x + 8x Combine like terms: 6x + 8x = 14x 129 = -109 + 14x Solving 129 = -109 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 129 + -14x = -109 + 14x + -14x Combine like terms: 14x + -14x = 0 129 + -14x = -109 + 0 129 + -14x = -109 Add '-129' to each side of the equation. 129 + -129 + -14x = -109 + -129 Combine like terms: 129 + -129 = 0 0 + -14x = -109 + -129 -14x = -109 + -129 Combine like terms: -109 + -129 = -238 -14x = -238 Divide each side by '-14'. x = 17 Simplifying x = 17
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