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Simplifying 9x + 2 = 3 + -1(8x + -6) Reorder the terms: 2 + 9x = 3 + -1(8x + -6) Reorder the terms: 2 + 9x = 3 + -1(-6 + 8x) 2 + 9x = 3 + (-6 * -1 + 8x * -1) 2 + 9x = 3 + (6 + -8x) Combine like terms: 3 + 6 = 9 2 + 9x = 9 + -8x Solving 2 + 9x = 9 + -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 = 9 + -8x + 8x Combine like terms: 9x + 8x = 17x 2 + 17x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 17x = 9 + 0 2 + 17x = 9 Add '-2' to each side of the equation. 2 + -2 + 17x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 17x = 9 + -2 17x = 9 + -2 Combine like terms: 9 + -2 = 7 17x = 7 Divide each side by '17'. x = 0.4117647059 Simplifying x = 0.4117647059
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