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Simplifying 3(3x + -9) = 35 + -2(x + 4) Reorder the terms: 3(-9 + 3x) = 35 + -2(x + 4) (-9 * 3 + 3x * 3) = 35 + -2(x + 4) (-27 + 9x) = 35 + -2(x + 4) Reorder the terms: -27 + 9x = 35 + -2(4 + x) -27 + 9x = 35 + (4 * -2 + x * -2) -27 + 9x = 35 + (-8 + -2x) Combine like terms: 35 + -8 = 27 -27 + 9x = 27 + -2x Solving -27 + 9x = 27 + -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. -27 + 9x + 2x = 27 + -2x + 2x Combine like terms: 9x + 2x = 11x -27 + 11x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 11x = 27 + 0 -27 + 11x = 27 Add '27' to each side of the equation. -27 + 27 + 11x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = 27 + 27 11x = 27 + 27 Combine like terms: 27 + 27 = 54 11x = 54 Divide each side by '11'. x = 4.909090909 Simplifying x = 4.909090909
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