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Simplifying -2(3x + -9) = 5(-27 + 7x) Reorder the terms: -2(-9 + 3x) = 5(-27 + 7x) (-9 * -2 + 3x * -2) = 5(-27 + 7x) (18 + -6x) = 5(-27 + 7x) 18 + -6x = (-27 * 5 + 7x * 5) 18 + -6x = (-135 + 35x) Solving 18 + -6x = -135 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 18 + -6x + -35x = -135 + 35x + -35x Combine like terms: -6x + -35x = -41x 18 + -41x = -135 + 35x + -35x Combine like terms: 35x + -35x = 0 18 + -41x = -135 + 0 18 + -41x = -135 Add '-18' to each side of the equation. 18 + -18 + -41x = -135 + -18 Combine like terms: 18 + -18 = 0 0 + -41x = -135 + -18 -41x = -135 + -18 Combine like terms: -135 + -18 = -153 -41x = -153 Divide each side by '-41'. x = 3.731707317 Simplifying x = 3.731707317
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