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Simplifying 120 = 15(x + -65) + 45 Reorder the terms: 120 = 15(-65 + x) + 45 120 = (-65 * 15 + x * 15) + 45 120 = (-975 + 15x) + 45 Reorder the terms: 120 = -975 + 45 + 15x Combine like terms: -975 + 45 = -930 120 = -930 + 15x Solving 120 = -930 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 120 + -15x = -930 + 15x + -15x Combine like terms: 15x + -15x = 0 120 + -15x = -930 + 0 120 + -15x = -930 Add '-120' to each side of the equation. 120 + -120 + -15x = -930 + -120 Combine like terms: 120 + -120 = 0 0 + -15x = -930 + -120 -15x = -930 + -120 Combine like terms: -930 + -120 = -1050 -15x = -1050 Divide each side by '-15'. x = 70 Simplifying x = 70
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