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Simplifying -6(3x + -3) = -1(5x + -2) Reorder the terms: -6(-3 + 3x) = -1(5x + -2) (-3 * -6 + 3x * -6) = -1(5x + -2) (18 + -18x) = -1(5x + -2) Reorder the terms: 18 + -18x = -1(-2 + 5x) 18 + -18x = (-2 * -1 + 5x * -1) 18 + -18x = (2 + -5x) Solving 18 + -18x = 2 + -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 + -18x + 5x = 2 + -5x + 5x Combine like terms: -18x + 5x = -13x 18 + -13x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + -13x = 2 + 0 18 + -13x = 2 Add '-18' to each side of the equation. 18 + -18 + -13x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = 2 + -18 -13x = 2 + -18 Combine like terms: 2 + -18 = -16 -13x = -16 Divide each side by '-13'. x = 1.230769231 Simplifying x = 1.230769231
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