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Simplifying 2(x + 7) = 3(4 + -1x) Reorder the terms: 2(7 + x) = 3(4 + -1x) (7 * 2 + x * 2) = 3(4 + -1x) (14 + 2x) = 3(4 + -1x) 14 + 2x = (4 * 3 + -1x * 3) 14 + 2x = (12 + -3x) Solving 14 + 2x = 12 + -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 = 12 + -3x + 3x Combine like terms: 2x + 3x = 5x 14 + 5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 5x = 12 + 0 14 + 5x = 12 Add '-14' to each side of the equation. 14 + -14 + 5x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 12 + -14 5x = 12 + -14 Combine like terms: 12 + -14 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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