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Simplifying 8x + 7 = 7 + -1(9x + -2) Reorder the terms: 7 + 8x = 7 + -1(9x + -2) Reorder the terms: 7 + 8x = 7 + -1(-2 + 9x) 7 + 8x = 7 + (-2 * -1 + 9x * -1) 7 + 8x = 7 + (2 + -9x) Combine like terms: 7 + 2 = 9 7 + 8x = 9 + -9x Solving 7 + 8x = 9 + -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 + 8x + 9x = 9 + -9x + 9x Combine like terms: 8x + 9x = 17x 7 + 17x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 17x = 9 + 0 7 + 17x = 9 Add '-7' to each side of the equation. 7 + -7 + 17x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = 9 + -7 17x = 9 + -7 Combine like terms: 9 + -7 = 2 17x = 2 Divide each side by '17'. x = 0.1176470588 Simplifying x = 0.1176470588
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