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Simplifying 2(-6x + 3) = 3(x + -3) Reorder the terms: 2(3 + -6x) = 3(x + -3) (3 * 2 + -6x * 2) = 3(x + -3) (6 + -12x) = 3(x + -3) Reorder the terms: 6 + -12x = 3(-3 + x) 6 + -12x = (-3 * 3 + x * 3) 6 + -12x = (-9 + 3x) Solving 6 + -12x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -12x + -3x = -9 + 3x + -3x Combine like terms: -12x + -3x = -15x 6 + -15x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -15x = -9 + 0 6 + -15x = -9 Add '-6' to each side of the equation. 6 + -6 + -15x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -9 + -6 -15x = -9 + -6 Combine like terms: -9 + -6 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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