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Simplifying (2x + 4) * 9 = (3x + -30) * 9 Reorder the terms: (4 + 2x) * 9 = (3x + -30) * 9 Reorder the terms for easier multiplication: 9(4 + 2x) = (3x + -30) * 9 (4 * 9 + 2x * 9) = (3x + -30) * 9 (36 + 18x) = (3x + -30) * 9 Reorder the terms: 36 + 18x = (-30 + 3x) * 9 Reorder the terms for easier multiplication: 36 + 18x = 9(-30 + 3x) 36 + 18x = (-30 * 9 + 3x * 9) 36 + 18x = (-270 + 27x) Solving 36 + 18x = -270 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 36 + 18x + -27x = -270 + 27x + -27x Combine like terms: 18x + -27x = -9x 36 + -9x = -270 + 27x + -27x Combine like terms: 27x + -27x = 0 36 + -9x = -270 + 0 36 + -9x = -270 Add '-36' to each side of the equation. 36 + -36 + -9x = -270 + -36 Combine like terms: 36 + -36 = 0 0 + -9x = -270 + -36 -9x = -270 + -36 Combine like terms: -270 + -36 = -306 -9x = -306 Divide each side by '-9'. x = 34 Simplifying x = 34
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