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Simplifying 18 + -2(7 + -2x) = 20 + 3(2x + -1) 18 + (7 * -2 + -2x * -2) = 20 + 3(2x + -1) 18 + (-14 + 4x) = 20 + 3(2x + -1) Combine like terms: 18 + -14 = 4 4 + 4x = 20 + 3(2x + -1) Reorder the terms: 4 + 4x = 20 + 3(-1 + 2x) 4 + 4x = 20 + (-1 * 3 + 2x * 3) 4 + 4x = 20 + (-3 + 6x) Combine like terms: 20 + -3 = 17 4 + 4x = 17 + 6x Solving 4 + 4x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 4x + -6x = 17 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = 17 + 0 4 + -2x = 17 Add '-4' to each side of the equation. 4 + -4 + -2x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 17 + -4 -2x = 17 + -4 Combine like terms: 17 + -4 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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