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Simplifying -1(3x + -7) = 14 + 2x Reorder the terms: -1(-7 + 3x) = 14 + 2x (-7 * -1 + 3x * -1) = 14 + 2x (7 + -3x) = 14 + 2x Solving 7 + -3x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -3x + -2x = 14 + 2x + -2x Combine like terms: -3x + -2x = -5x 7 + -5x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -5x = 14 + 0 7 + -5x = 14 Add '-7' to each side of the equation. 7 + -7 + -5x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 14 + -7 -5x = 14 + -7 Combine like terms: 14 + -7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4
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