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Simplifying 4(2x + 6) = -2(4 + x) Reorder the terms: 4(6 + 2x) = -2(4 + x) (6 * 4 + 2x * 4) = -2(4 + x) (24 + 8x) = -2(4 + x) 24 + 8x = (4 * -2 + x * -2) 24 + 8x = (-8 + -2x) Solving 24 + 8x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 8x + 2x = -8 + -2x + 2x Combine like terms: 8x + 2x = 10x 24 + 10x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 10x = -8 + 0 24 + 10x = -8 Add '-24' to each side of the equation. 24 + -24 + 10x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -8 + -24 10x = -8 + -24 Combine like terms: -8 + -24 = -32 10x = -32 Divide each side by '10'. x = -3.2 Simplifying x = -3.2
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