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Simplifying (3x + -6) * 3 = -2(5 + -1x) Reorder the terms: (-6 + 3x) * 3 = -2(5 + -1x) Reorder the terms for easier multiplication: 3(-6 + 3x) = -2(5 + -1x) (-6 * 3 + 3x * 3) = -2(5 + -1x) (-18 + 9x) = -2(5 + -1x) -18 + 9x = (5 * -2 + -1x * -2) -18 + 9x = (-10 + 2x) Solving -18 + 9x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 9x + -2x = -10 + 2x + -2x Combine like terms: 9x + -2x = 7x -18 + 7x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 7x = -10 + 0 -18 + 7x = -10 Add '18' to each side of the equation. -18 + 18 + 7x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -10 + 18 7x = -10 + 18 Combine like terms: -10 + 18 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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