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Simplifying 1 + 9(x + -2) = 5 + -2(x + -6) Reorder the terms: 1 + 9(-2 + x) = 5 + -2(x + -6) 1 + (-2 * 9 + x * 9) = 5 + -2(x + -6) 1 + (-18 + 9x) = 5 + -2(x + -6) Combine like terms: 1 + -18 = -17 -17 + 9x = 5 + -2(x + -6) Reorder the terms: -17 + 9x = 5 + -2(-6 + x) -17 + 9x = 5 + (-6 * -2 + x * -2) -17 + 9x = 5 + (12 + -2x) Combine like terms: 5 + 12 = 17 -17 + 9x = 17 + -2x Solving -17 + 9x = 17 + -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. -17 + 9x + 2x = 17 + -2x + 2x Combine like terms: 9x + 2x = 11x -17 + 11x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 11x = 17 + 0 -17 + 11x = 17 Add '17' to each side of the equation. -17 + 17 + 11x = 17 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 17 + 17 11x = 17 + 17 Combine like terms: 17 + 17 = 34 11x = 34 Divide each side by '11'. x = 3.090909091 Simplifying x = 3.090909091
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