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Simplifying -2(2x + -3) = -3(4x + -6) Reorder the terms: -2(-3 + 2x) = -3(4x + -6) (-3 * -2 + 2x * -2) = -3(4x + -6) (6 + -4x) = -3(4x + -6) Reorder the terms: 6 + -4x = -3(-6 + 4x) 6 + -4x = (-6 * -3 + 4x * -3) 6 + -4x = (18 + -12x) Solving 6 + -4x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + -4x + 12x = 18 + -12x + 12x Combine like terms: -4x + 12x = 8x 6 + 8x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 8x = 18 + 0 6 + 8x = 18 Add '-6' to each side of the equation. 6 + -6 + 8x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 18 + -6 8x = 18 + -6 Combine like terms: 18 + -6 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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