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Simplifying 3(x + 3) + 4(2x + -1) = 27 Reorder the terms: 3(3 + x) + 4(2x + -1) = 27 (3 * 3 + x * 3) + 4(2x + -1) = 27 (9 + 3x) + 4(2x + -1) = 27 Reorder the terms: 9 + 3x + 4(-1 + 2x) = 27 9 + 3x + (-1 * 4 + 2x * 4) = 27 9 + 3x + (-4 + 8x) = 27 Reorder the terms: 9 + -4 + 3x + 8x = 27 Combine like terms: 9 + -4 = 5 5 + 3x + 8x = 27 Combine like terms: 3x + 8x = 11x 5 + 11x = 27 Solving 5 + 11x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11x = 27 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 27 + -5 11x = 27 + -5 Combine like terms: 27 + -5 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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