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Simplifying 2(7 + -1x) = 3(x + 3) (7 * 2 + -1x * 2) = 3(x + 3) (14 + -2x) = 3(x + 3) Reorder the terms: 14 + -2x = 3(3 + x) 14 + -2x = (3 * 3 + x * 3) 14 + -2x = (9 + 3x) Solving 14 + -2x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + -2x + -3x = 9 + 3x + -3x Combine like terms: -2x + -3x = -5x 14 + -5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -5x = 9 + 0 14 + -5x = 9 Add '-14' to each side of the equation. 14 + -14 + -5x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 9 + -14 -5x = 9 + -14 Combine like terms: 9 + -14 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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