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Simplifying -3(2x + -6) = 4(-4x + -3) Reorder the terms: -3(-6 + 2x) = 4(-4x + -3) (-6 * -3 + 2x * -3) = 4(-4x + -3) (18 + -6x) = 4(-4x + -3) Reorder the terms: 18 + -6x = 4(-3 + -4x) 18 + -6x = (-3 * 4 + -4x * 4) 18 + -6x = (-12 + -16x) Solving 18 + -6x = -12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 18 + -6x + 16x = -12 + -16x + 16x Combine like terms: -6x + 16x = 10x 18 + 10x = -12 + -16x + 16x Combine like terms: -16x + 16x = 0 18 + 10x = -12 + 0 18 + 10x = -12 Add '-18' to each side of the equation. 18 + -18 + 10x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = -12 + -18 10x = -12 + -18 Combine like terms: -12 + -18 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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