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Simplifying 6(x + 4) = -2(2x + 13) Reorder the terms: 6(4 + x) = -2(2x + 13) (4 * 6 + x * 6) = -2(2x + 13) (24 + 6x) = -2(2x + 13) Reorder the terms: 24 + 6x = -2(13 + 2x) 24 + 6x = (13 * -2 + 2x * -2) 24 + 6x = (-26 + -4x) Solving 24 + 6x = -26 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 6x + 4x = -26 + -4x + 4x Combine like terms: 6x + 4x = 10x 24 + 10x = -26 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 10x = -26 + 0 24 + 10x = -26 Add '-24' to each side of the equation. 24 + -24 + 10x = -26 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -26 + -24 10x = -26 + -24 Combine like terms: -26 + -24 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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