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Simplifying 2(7 + -1x) = 3(x + -2) + 2x (7 * 2 + -1x * 2) = 3(x + -2) + 2x (14 + -2x) = 3(x + -2) + 2x Reorder the terms: 14 + -2x = 3(-2 + x) + 2x 14 + -2x = (-2 * 3 + x * 3) + 2x 14 + -2x = (-6 + 3x) + 2x Combine like terms: 3x + 2x = 5x 14 + -2x = -6 + 5x Solving 14 + -2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -2x + -5x = -6 + 5x + -5x Combine like terms: -2x + -5x = -7x 14 + -7x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -7x = -6 + 0 14 + -7x = -6 Add '-14' to each side of the equation. 14 + -14 + -7x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -6 + -14 -7x = -6 + -14 Combine like terms: -6 + -14 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857
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