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Simplifying (8x + 25) + 2(2x + 15) + (3x + -10) = 120 Reorder the terms: (25 + 8x) + 2(2x + 15) + (3x + -10) = 120 Remove parenthesis around (25 + 8x) 25 + 8x + 2(2x + 15) + (3x + -10) = 120 Reorder the terms: 25 + 8x + 2(15 + 2x) + (3x + -10) = 120 25 + 8x + (15 * 2 + 2x * 2) + (3x + -10) = 120 25 + 8x + (30 + 4x) + (3x + -10) = 120 Reorder the terms: 25 + 8x + 30 + 4x + (-10 + 3x) = 120 Remove parenthesis around (-10 + 3x) 25 + 8x + 30 + 4x + -10 + 3x = 120 Reorder the terms: 25 + 30 + -10 + 8x + 4x + 3x = 120 Combine like terms: 25 + 30 = 55 55 + -10 + 8x + 4x + 3x = 120 Combine like terms: 55 + -10 = 45 45 + 8x + 4x + 3x = 120 Combine like terms: 8x + 4x = 12x 45 + 12x + 3x = 120 Combine like terms: 12x + 3x = 15x 45 + 15x = 120 Solving 45 + 15x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 15x = 120 + -45 Combine like terms: 45 + -45 = 0 0 + 15x = 120 + -45 15x = 120 + -45 Combine like terms: 120 + -45 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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