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