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Simplifying 3(2x + 9) = 4(2x + 7) Reorder the terms: 3(9 + 2x) = 4(2x + 7) (9 * 3 + 2x * 3) = 4(2x + 7) (27 + 6x) = 4(2x + 7) Reorder the terms: 27 + 6x = 4(7 + 2x) 27 + 6x = (7 * 4 + 2x * 4) 27 + 6x = (28 + 8x) Solving 27 + 6x = 28 + 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 = 28 + 8x + -8x Combine like terms: 6x + -8x = -2x 27 + -2x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -2x = 28 + 0 27 + -2x = 28 Add '-27' to each side of the equation. 27 + -27 + -2x = 28 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 28 + -27 -2x = 28 + -27 Combine like terms: 28 + -27 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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