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Simplifying -2x + 7 = -1(9x + 5) Reorder the terms: 7 + -2x = -1(9x + 5) Reorder the terms: 7 + -2x = -1(5 + 9x) 7 + -2x = (5 * -1 + 9x * -1) 7 + -2x = (-5 + -9x) Solving 7 + -2x = -5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + -2x + 9x = -5 + -9x + 9x Combine like terms: -2x + 9x = 7x 7 + 7x = -5 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 7x = -5 + 0 7 + 7x = -5 Add '-7' to each side of the equation. 7 + -7 + 7x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -5 + -7 7x = -5 + -7 Combine like terms: -5 + -7 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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