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Simplifying -2x + 7 = 5 + -1(9x + 6) Reorder the terms: 7 + -2x = 5 + -1(9x + 6) Reorder the terms: 7 + -2x = 5 + -1(6 + 9x) 7 + -2x = 5 + (6 * -1 + 9x * -1) 7 + -2x = 5 + (-6 + -9x) Combine like terms: 5 + -6 = -1 7 + -2x = -1 + -9x Solving 7 + -2x = -1 + -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 = -1 + -9x + 9x Combine like terms: -2x + 9x = 7x 7 + 7x = -1 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 7x = -1 + 0 7 + 7x = -1 Add '-7' to each side of the equation. 7 + -7 + 7x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -1 + -7 7x = -1 + -7 Combine like terms: -1 + -7 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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