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Simplifying 9 + 8(x + -1) = 5 + -9(x + -2) Reorder the terms: 9 + 8(-1 + x) = 5 + -9(x + -2) 9 + (-1 * 8 + x * 8) = 5 + -9(x + -2) 9 + (-8 + 8x) = 5 + -9(x + -2) Combine like terms: 9 + -8 = 1 1 + 8x = 5 + -9(x + -2) Reorder the terms: 1 + 8x = 5 + -9(-2 + x) 1 + 8x = 5 + (-2 * -9 + x * -9) 1 + 8x = 5 + (18 + -9x) Combine like terms: 5 + 18 = 23 1 + 8x = 23 + -9x Solving 1 + 8x = 23 + -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. 1 + 8x + 9x = 23 + -9x + 9x Combine like terms: 8x + 9x = 17x 1 + 17x = 23 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 17x = 23 + 0 1 + 17x = 23 Add '-1' to each side of the equation. 1 + -1 + 17x = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 17x = 23 + -1 17x = 23 + -1 Combine like terms: 23 + -1 = 22 17x = 22 Divide each side by '17'. x = 1.294117647 Simplifying x = 1.294117647
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