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Simplifying -2x + 7 = 5 + -1(7x + 7) Reorder the terms: 7 + -2x = 5 + -1(7x + 7) Reorder the terms: 7 + -2x = 5 + -1(7 + 7x) 7 + -2x = 5 + (7 * -1 + 7x * -1) 7 + -2x = 5 + (-7 + -7x) Combine like terms: 5 + -7 = -2 7 + -2x = -2 + -7x Solving 7 + -2x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + -2x + 7x = -2 + -7x + 7x Combine like terms: -2x + 7x = 5x 7 + 5x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 5x = -2 + 0 7 + 5x = -2 Add '-7' to each side of the equation. 7 + -7 + 5x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -2 + -7 5x = -2 + -7 Combine like terms: -2 + -7 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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