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Simplifying -4(x + -6) = 2(7 + -7x) Reorder the terms: -4(-6 + x) = 2(7 + -7x) (-6 * -4 + x * -4) = 2(7 + -7x) (24 + -4x) = 2(7 + -7x) 24 + -4x = (7 * 2 + -7x * 2) 24 + -4x = (14 + -14x) Solving 24 + -4x = 14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 24 + -4x + 14x = 14 + -14x + 14x Combine like terms: -4x + 14x = 10x 24 + 10x = 14 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + 10x = 14 + 0 24 + 10x = 14 Add '-24' to each side of the equation. 24 + -24 + 10x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 14 + -24 10x = 14 + -24 Combine like terms: 14 + -24 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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