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Simplifying 1 + 9(x + -3) = 8 + -2(x + -2) Reorder the terms: 1 + 9(-3 + x) = 8 + -2(x + -2) 1 + (-3 * 9 + x * 9) = 8 + -2(x + -2) 1 + (-27 + 9x) = 8 + -2(x + -2) Combine like terms: 1 + -27 = -26 -26 + 9x = 8 + -2(x + -2) Reorder the terms: -26 + 9x = 8 + -2(-2 + x) -26 + 9x = 8 + (-2 * -2 + x * -2) -26 + 9x = 8 + (4 + -2x) Combine like terms: 8 + 4 = 12 -26 + 9x = 12 + -2x Solving -26 + 9x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -26 + 9x + 2x = 12 + -2x + 2x Combine like terms: 9x + 2x = 11x -26 + 11x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -26 + 11x = 12 + 0 -26 + 11x = 12 Add '26' to each side of the equation. -26 + 26 + 11x = 12 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = 12 + 26 11x = 12 + 26 Combine like terms: 12 + 26 = 38 11x = 38 Divide each side by '11'. x = 3.454545455 Simplifying x = 3.454545455
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