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