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Simplifying 1 + 2(x + -9) = 4 + -9(x + -3) Reorder the terms: 1 + 2(-9 + x) = 4 + -9(x + -3) 1 + (-9 * 2 + x * 2) = 4 + -9(x + -3) 1 + (-18 + 2x) = 4 + -9(x + -3) Combine like terms: 1 + -18 = -17 -17 + 2x = 4 + -9(x + -3) Reorder the terms: -17 + 2x = 4 + -9(-3 + x) -17 + 2x = 4 + (-3 * -9 + x * -9) -17 + 2x = 4 + (27 + -9x) Combine like terms: 4 + 27 = 31 -17 + 2x = 31 + -9x Solving -17 + 2x = 31 + -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. -17 + 2x + 9x = 31 + -9x + 9x Combine like terms: 2x + 9x = 11x -17 + 11x = 31 + -9x + 9x Combine like terms: -9x + 9x = 0 -17 + 11x = 31 + 0 -17 + 11x = 31 Add '17' to each side of the equation. -17 + 17 + 11x = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 31 + 17 11x = 31 + 17 Combine like terms: 31 + 17 = 48 11x = 48 Divide each side by '11'. x = 4.363636364 Simplifying x = 4.363636364
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