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