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Simplifying 20 + -1(2x + 6) = 5(2 + -1x) + 2x Reorder the terms: 20 + -1(6 + 2x) = 5(2 + -1x) + 2x 20 + (6 * -1 + 2x * -1) = 5(2 + -1x) + 2x 20 + (-6 + -2x) = 5(2 + -1x) + 2x Combine like terms: 20 + -6 = 14 14 + -2x = 5(2 + -1x) + 2x 14 + -2x = (2 * 5 + -1x * 5) + 2x 14 + -2x = (10 + -5x) + 2x Combine like terms: -5x + 2x = -3x 14 + -2x = 10 + -3x Solving 14 + -2x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + -2x + 3x = 10 + -3x + 3x Combine like terms: -2x + 3x = 1x 14 + 1x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 1x = 10 + 0 14 + 1x = 10 Add '-14' to each side of the equation. 14 + -14 + 1x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 10 + -14 1x = 10 + -14 Combine like terms: 10 + -14 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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