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Simplifying -4(x + -6) = 2(7 + -3x) Reorder the terms: -4(-6 + x) = 2(7 + -3x) (-6 * -4 + x * -4) = 2(7 + -3x) (24 + -4x) = 2(7 + -3x) 24 + -4x = (7 * 2 + -3x * 2) 24 + -4x = (14 + -6x) Solving 24 + -4x = 14 + -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 = 14 + -6x + 6x Combine like terms: -4x + 6x = 2x 24 + 2x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 2x = 14 + 0 24 + 2x = 14 Add '-24' to each side of the equation. 24 + -24 + 2x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 14 + -24 2x = 14 + -24 Combine like terms: 14 + -24 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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