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Simplifying 3(2x + -9) = -1(3x + -18) Reorder the terms: 3(-9 + 2x) = -1(3x + -18) (-9 * 3 + 2x * 3) = -1(3x + -18) (-27 + 6x) = -1(3x + -18) Reorder the terms: -27 + 6x = -1(-18 + 3x) -27 + 6x = (-18 * -1 + 3x * -1) -27 + 6x = (18 + -3x) Solving -27 + 6x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27 + 6x + 3x = 18 + -3x + 3x Combine like terms: 6x + 3x = 9x -27 + 9x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 9x = 18 + 0 -27 + 9x = 18 Add '27' to each side of the equation. -27 + 27 + 9x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 18 + 27 9x = 18 + 27 Combine like terms: 18 + 27 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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