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Simplifying 3(2x + 9) = 2(4x + -1) Reorder the terms: 3(9 + 2x) = 2(4x + -1) (9 * 3 + 2x * 3) = 2(4x + -1) (27 + 6x) = 2(4x + -1) Reorder the terms: 27 + 6x = 2(-1 + 4x) 27 + 6x = (-1 * 2 + 4x * 2) 27 + 6x = (-2 + 8x) Solving 27 + 6x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 27 + 6x + -8x = -2 + 8x + -8x Combine like terms: 6x + -8x = -2x 27 + -2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -2x = -2 + 0 27 + -2x = -2 Add '-27' to each side of the equation. 27 + -27 + -2x = -2 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = -2 + -27 -2x = -2 + -27 Combine like terms: -2 + -27 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5
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