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Simplifying 5x + -14 = -1(2x + -7) Reorder the terms: -14 + 5x = -1(2x + -7) Reorder the terms: -14 + 5x = -1(-7 + 2x) -14 + 5x = (-7 * -1 + 2x * -1) -14 + 5x = (7 + -2x) Solving -14 + 5x = 7 + -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. -14 + 5x + 2x = 7 + -2x + 2x Combine like terms: 5x + 2x = 7x -14 + 7x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 7x = 7 + 0 -14 + 7x = 7 Add '14' to each side of the equation. -14 + 14 + 7x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 7 + 14 7x = 7 + 14 Combine like terms: 7 + 14 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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