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Simplifying 3(6 + -5x) = 1 + -1(x + -8) (6 * 3 + -5x * 3) = 1 + -1(x + -8) (18 + -15x) = 1 + -1(x + -8) Reorder the terms: 18 + -15x = 1 + -1(-8 + x) 18 + -15x = 1 + (-8 * -1 + x * -1) 18 + -15x = 1 + (8 + -1x) Combine like terms: 1 + 8 = 9 18 + -15x = 9 + -1x Solving 18 + -15x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 18 + -15x + x = 9 + -1x + x Combine like terms: -15x + x = -14x 18 + -14x = 9 + -1x + x Combine like terms: -1x + x = 0 18 + -14x = 9 + 0 18 + -14x = 9 Add '-18' to each side of the equation. 18 + -18 + -14x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = 9 + -18 -14x = 9 + -18 Combine like terms: 9 + -18 = -9 -14x = -9 Divide each side by '-14'. x = 0.6428571429 Simplifying x = 0.6428571429
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