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Simplifying 3(x + 9) + 2(4x + -1) = 30 Reorder the terms: 3(9 + x) + 2(4x + -1) = 30 (9 * 3 + x * 3) + 2(4x + -1) = 30 (27 + 3x) + 2(4x + -1) = 30 Reorder the terms: 27 + 3x + 2(-1 + 4x) = 30 27 + 3x + (-1 * 2 + 4x * 2) = 30 27 + 3x + (-2 + 8x) = 30 Reorder the terms: 27 + -2 + 3x + 8x = 30 Combine like terms: 27 + -2 = 25 25 + 3x + 8x = 30 Combine like terms: 3x + 8x = 11x 25 + 11x = 30 Solving 25 + 11x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11x = 30 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = 30 + -25 11x = 30 + -25 Combine like terms: 30 + -25 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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