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Simplifying (x + 22) * 10 = (x + 2) * 30 Reorder the terms: (22 + x) * 10 = (x + 2) * 30 Reorder the terms for easier multiplication: 10(22 + x) = (x + 2) * 30 (22 * 10 + x * 10) = (x + 2) * 30 (220 + 10x) = (x + 2) * 30 Reorder the terms: 220 + 10x = (2 + x) * 30 Reorder the terms for easier multiplication: 220 + 10x = 30(2 + x) 220 + 10x = (2 * 30 + x * 30) 220 + 10x = (60 + 30x) Solving 220 + 10x = 60 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 220 + 10x + -30x = 60 + 30x + -30x Combine like terms: 10x + -30x = -20x 220 + -20x = 60 + 30x + -30x Combine like terms: 30x + -30x = 0 220 + -20x = 60 + 0 220 + -20x = 60 Add '-220' to each side of the equation. 220 + -220 + -20x = 60 + -220 Combine like terms: 220 + -220 = 0 0 + -20x = 60 + -220 -20x = 60 + -220 Combine like terms: 60 + -220 = -160 -20x = -160 Divide each side by '-20'. x = 8 Simplifying x = 8
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