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Simplifying 7x + 8 = 3(6x + -9) + -8 Reorder the terms: 8 + 7x = 3(6x + -9) + -8 Reorder the terms: 8 + 7x = 3(-9 + 6x) + -8 8 + 7x = (-9 * 3 + 6x * 3) + -8 8 + 7x = (-27 + 18x) + -8 Reorder the terms: 8 + 7x = -27 + -8 + 18x Combine like terms: -27 + -8 = -35 8 + 7x = -35 + 18x Solving 8 + 7x = -35 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 8 + 7x + -18x = -35 + 18x + -18x Combine like terms: 7x + -18x = -11x 8 + -11x = -35 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + -11x = -35 + 0 8 + -11x = -35 Add '-8' to each side of the equation. 8 + -8 + -11x = -35 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -35 + -8 -11x = -35 + -8 Combine like terms: -35 + -8 = -43 -11x = -43 Divide each side by '-11'. x = 3.909090909 Simplifying x = 3.909090909
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