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Simplifying 3(x + 2) = 9(4x + -1) Reorder the terms: 3(2 + x) = 9(4x + -1) (2 * 3 + x * 3) = 9(4x + -1) (6 + 3x) = 9(4x + -1) Reorder the terms: 6 + 3x = 9(-1 + 4x) 6 + 3x = (-1 * 9 + 4x * 9) 6 + 3x = (-9 + 36x) Solving 6 + 3x = -9 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 6 + 3x + -36x = -9 + 36x + -36x Combine like terms: 3x + -36x = -33x 6 + -33x = -9 + 36x + -36x Combine like terms: 36x + -36x = 0 6 + -33x = -9 + 0 6 + -33x = -9 Add '-6' to each side of the equation. 6 + -6 + -33x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -33x = -9 + -6 -33x = -9 + -6 Combine like terms: -9 + -6 = -15 -33x = -15 Divide each side by '-33'. x = 0.4545454545 Simplifying x = 0.4545454545
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