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Simplifying (2x + 2 + 10) * 10 = (3x + 2 + 9) * 9 Reorder the terms: (2 + 10 + 2x) * 10 = (3x + 2 + 9) * 9 Combine like terms: 2 + 10 = 12 (12 + 2x) * 10 = (3x + 2 + 9) * 9 Reorder the terms for easier multiplication: 10(12 + 2x) = (3x + 2 + 9) * 9 (12 * 10 + 2x * 10) = (3x + 2 + 9) * 9 (120 + 20x) = (3x + 2 + 9) * 9 Reorder the terms: 120 + 20x = (2 + 9 + 3x) * 9 Combine like terms: 2 + 9 = 11 120 + 20x = (11 + 3x) * 9 Reorder the terms for easier multiplication: 120 + 20x = 9(11 + 3x) 120 + 20x = (11 * 9 + 3x * 9) 120 + 20x = (99 + 27x) Solving 120 + 20x = 99 + 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. 120 + 20x + -27x = 99 + 27x + -27x Combine like terms: 20x + -27x = -7x 120 + -7x = 99 + 27x + -27x Combine like terms: 27x + -27x = 0 120 + -7x = 99 + 0 120 + -7x = 99 Add '-120' to each side of the equation. 120 + -120 + -7x = 99 + -120 Combine like terms: 120 + -120 = 0 0 + -7x = 99 + -120 -7x = 99 + -120 Combine like terms: 99 + -120 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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