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Simplifying 4(6 + -1x) = -2(3x + 2) (6 * 4 + -1x * 4) = -2(3x + 2) (24 + -4x) = -2(3x + 2) Reorder the terms: 24 + -4x = -2(2 + 3x) 24 + -4x = (2 * -2 + 3x * -2) 24 + -4x = (-4 + -6x) Solving 24 + -4x = -4 + -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. 24 + -4x + 6x = -4 + -6x + 6x Combine like terms: -4x + 6x = 2x 24 + 2x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 2x = -4 + 0 24 + 2x = -4 Add '-24' to each side of the equation. 24 + -24 + 2x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -4 + -24 2x = -4 + -24 Combine like terms: -4 + -24 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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