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Simplifying (x + 10) + 8(x + 2.5) = 120 Reorder the terms: (10 + x) + 8(x + 2.5) = 120 Remove parenthesis around (10 + x) 10 + x + 8(x + 2.5) = 120 Reorder the terms: 10 + x + 8(2.5 + x) = 120 10 + x + (2.5 * 8 + x * 8) = 120 10 + x + (20 + 8x) = 120 Reorder the terms: 10 + 20 + x + 8x = 120 Combine like terms: 10 + 20 = 30 30 + x + 8x = 120 Combine like terms: x + 8x = 9x 30 + 9x = 120 Solving 30 + 9x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 9x = 120 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 120 + -30 9x = 120 + -30 Combine like terms: 120 + -30 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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