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Simplifying 5(2x + 4) = -8x + 2 Reorder the terms: 5(4 + 2x) = -8x + 2 (4 * 5 + 2x * 5) = -8x + 2 (20 + 10x) = -8x + 2 Reorder the terms: 20 + 10x = 2 + -8x Solving 20 + 10x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + 10x + 8x = 2 + -8x + 8x Combine like terms: 10x + 8x = 18x 20 + 18x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 18x = 2 + 0 20 + 18x = 2 Add '-20' to each side of the equation. 20 + -20 + 18x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 18x = 2 + -20 18x = 2 + -20 Combine like terms: 2 + -20 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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