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Simplifying 4(3 + -1x) = -3(6 + -2x) (3 * 4 + -1x * 4) = -3(6 + -2x) (12 + -4x) = -3(6 + -2x) 12 + -4x = (6 * -3 + -2x * -3) 12 + -4x = (-18 + 6x) Solving 12 + -4x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -4x + -6x = -18 + 6x + -6x Combine like terms: -4x + -6x = -10x 12 + -10x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -10x = -18 + 0 12 + -10x = -18 Add '-12' to each side of the equation. 12 + -12 + -10x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -18 + -12 -10x = -18 + -12 Combine like terms: -18 + -12 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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