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Simplifying 2((2x + 1) + -1x) = 3(3x + -1) Reorder the terms: 2((1 + 2x) + -1x) = 3(3x + -1) Remove parenthesis around (1 + 2x) 2(1 + 2x + -1x) = 3(3x + -1) Combine like terms: 2x + -1x = 1x 2(1 + 1x) = 3(3x + -1) (1 * 2 + 1x * 2) = 3(3x + -1) (2 + 2x) = 3(3x + -1) Reorder the terms: 2 + 2x = 3(-1 + 3x) 2 + 2x = (-1 * 3 + 3x * 3) 2 + 2x = (-3 + 9x) Solving 2 + 2x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 2x + -9x = -3 + 9x + -9x Combine like terms: 2x + -9x = -7x 2 + -7x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -7x = -3 + 0 2 + -7x = -3 Add '-2' to each side of the equation. 2 + -2 + -7x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -3 + -2 -7x = -3 + -2 Combine like terms: -3 + -2 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143
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