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Simplifying 9x + 2 = 3 + -1(8x + -7) Reorder the terms: 2 + 9x = 3 + -1(8x + -7) Reorder the terms: 2 + 9x = 3 + -1(-7 + 8x) 2 + 9x = 3 + (-7 * -1 + 8x * -1) 2 + 9x = 3 + (7 + -8x) Combine like terms: 3 + 7 = 10 2 + 9x = 10 + -8x Solving 2 + 9x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + 9x + 8x = 10 + -8x + 8x Combine like terms: 9x + 8x = 17x 2 + 17x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 17x = 10 + 0 2 + 17x = 10 Add '-2' to each side of the equation. 2 + -2 + 17x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 17x = 10 + -2 17x = 10 + -2 Combine like terms: 10 + -2 = 8 17x = 8 Divide each side by '17'. x = 0.4705882353 Simplifying x = 0.4705882353
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