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Simplifying 6[2 + -1(5 + 4x)] + -2 = -20 + 2(1 + -13x) 6[2 + (5 * -1 + 4x * -1)] + -2 = -20 + 2(1 + -13x) 6[2 + (-5 + -4x)] + -2 = -20 + 2(1 + -13x) Combine like terms: 2 + -5 = -3 6[-3 + -4x] + -2 = -20 + 2(1 + -13x) [-3 * 6 + -4x * 6] + -2 = -20 + 2(1 + -13x) [-18 + -24x] + -2 = -20 + 2(1 + -13x) Reorder the terms: -18 + -2 + -24x = -20 + 2(1 + -13x) Combine like terms: -18 + -2 = -20 -20 + -24x = -20 + 2(1 + -13x) -20 + -24x = -20 + (1 * 2 + -13x * 2) -20 + -24x = -20 + (2 + -26x) Combine like terms: -20 + 2 = -18 -20 + -24x = -18 + -26x Solving -20 + -24x = -18 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -20 + -24x + 26x = -18 + -26x + 26x Combine like terms: -24x + 26x = 2x -20 + 2x = -18 + -26x + 26x Combine like terms: -26x + 26x = 0 -20 + 2x = -18 + 0 -20 + 2x = -18 Add '20' to each side of the equation. -20 + 20 + 2x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -18 + 20 2x = -18 + 20 Combine like terms: -18 + 20 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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