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Simplifying 4(2x + 6) = -2x + 4 Reorder the terms: 4(6 + 2x) = -2x + 4 (6 * 4 + 2x * 4) = -2x + 4 (24 + 8x) = -2x + 4 Reorder the terms: 24 + 8x = 4 + -2x Solving 24 + 8x = 4 + -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 = 4 + -2x + 2x Combine like terms: 8x + 2x = 10x 24 + 10x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 10x = 4 + 0 24 + 10x = 4 Add '-24' to each side of the equation. 24 + -24 + 10x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 4 + -24 10x = 4 + -24 Combine like terms: 4 + -24 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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