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Simplifying 20 + -3(x + -2) = -2(5x + 1) Reorder the terms: 20 + -3(-2 + x) = -2(5x + 1) 20 + (-2 * -3 + x * -3) = -2(5x + 1) 20 + (6 + -3x) = -2(5x + 1) Combine like terms: 20 + 6 = 26 26 + -3x = -2(5x + 1) Reorder the terms: 26 + -3x = -2(1 + 5x) 26 + -3x = (1 * -2 + 5x * -2) 26 + -3x = (-2 + -10x) Solving 26 + -3x = -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. 26 + -3x + 10x = -2 + -10x + 10x Combine like terms: -3x + 10x = 7x 26 + 7x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 26 + 7x = -2 + 0 26 + 7x = -2 Add '-26' to each side of the equation. 26 + -26 + 7x = -2 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = -2 + -26 7x = -2 + -26 Combine like terms: -2 + -26 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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