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Simplifying 2(7 + -1x) = 3(9 + 2x) + -3 (7 * 2 + -1x * 2) = 3(9 + 2x) + -3 (14 + -2x) = 3(9 + 2x) + -3 14 + -2x = (9 * 3 + 2x * 3) + -3 14 + -2x = (27 + 6x) + -3 Reorder the terms: 14 + -2x = 27 + -3 + 6x Combine like terms: 27 + -3 = 24 14 + -2x = 24 + 6x Solving 14 + -2x = 24 + 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. 14 + -2x + -6x = 24 + 6x + -6x Combine like terms: -2x + -6x = -8x 14 + -8x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -8x = 24 + 0 14 + -8x = 24 Add '-14' to each side of the equation. 14 + -14 + -8x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 24 + -14 -8x = 24 + -14 Combine like terms: 24 + -14 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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