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Simplifying 2(4x + 10) = -3(2 + -1x) + -2x Reorder the terms: 2(10 + 4x) = -3(2 + -1x) + -2x (10 * 2 + 4x * 2) = -3(2 + -1x) + -2x (20 + 8x) = -3(2 + -1x) + -2x 20 + 8x = (2 * -3 + -1x * -3) + -2x 20 + 8x = (-6 + 3x) + -2x Combine like terms: 3x + -2x = 1x 20 + 8x = -6 + 1x Solving 20 + 8x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 8x + -1x = -6 + 1x + -1x Combine like terms: 8x + -1x = 7x 20 + 7x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 20 + 7x = -6 + 0 20 + 7x = -6 Add '-20' to each side of the equation. 20 + -20 + 7x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = -6 + -20 7x = -6 + -20 Combine like terms: -6 + -20 = -26 7x = -26 Divide each side by '7'. x = -3.714285714 Simplifying x = -3.714285714
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