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Simplifying 1 + 9(x + -3) = 8 + -8(x + -2) Reorder the terms: 1 + 9(-3 + x) = 8 + -8(x + -2) 1 + (-3 * 9 + x * 9) = 8 + -8(x + -2) 1 + (-27 + 9x) = 8 + -8(x + -2) Combine like terms: 1 + -27 = -26 -26 + 9x = 8 + -8(x + -2) Reorder the terms: -26 + 9x = 8 + -8(-2 + x) -26 + 9x = 8 + (-2 * -8 + x * -8) -26 + 9x = 8 + (16 + -8x) Combine like terms: 8 + 16 = 24 -26 + 9x = 24 + -8x Solving -26 + 9x = 24 + -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. -26 + 9x + 8x = 24 + -8x + 8x Combine like terms: 9x + 8x = 17x -26 + 17x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -26 + 17x = 24 + 0 -26 + 17x = 24 Add '26' to each side of the equation. -26 + 26 + 17x = 24 + 26 Combine like terms: -26 + 26 = 0 0 + 17x = 24 + 26 17x = 24 + 26 Combine like terms: 24 + 26 = 50 17x = 50 Divide each side by '17'. x = 2.941176471 Simplifying x = 2.941176471
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