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Simplifying -3(2x + -6) = -4 + 5(x + 2) Reorder the terms: -3(-6 + 2x) = -4 + 5(x + 2) (-6 * -3 + 2x * -3) = -4 + 5(x + 2) (18 + -6x) = -4 + 5(x + 2) Reorder the terms: 18 + -6x = -4 + 5(2 + x) 18 + -6x = -4 + (2 * 5 + x * 5) 18 + -6x = -4 + (10 + 5x) Combine like terms: -4 + 10 = 6 18 + -6x = 6 + 5x Solving 18 + -6x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -6x + -5x = 6 + 5x + -5x Combine like terms: -6x + -5x = -11x 18 + -11x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -11x = 6 + 0 18 + -11x = 6 Add '-18' to each side of the equation. 18 + -18 + -11x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 6 + -18 -11x = 6 + -18 Combine like terms: 6 + -18 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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