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Simplifying 120 + 10x = 6(x + 30) Reorder the terms: 120 + 10x = 6(30 + x) 120 + 10x = (30 * 6 + x * 6) 120 + 10x = (180 + 6x) Solving 120 + 10x = 180 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 120 + 10x + -6x = 180 + 6x + -6x Combine like terms: 10x + -6x = 4x 120 + 4x = 180 + 6x + -6x Combine like terms: 6x + -6x = 0 120 + 4x = 180 + 0 120 + 4x = 180 Add '-120' to each side of the equation. 120 + -120 + 4x = 180 + -120 Combine like terms: 120 + -120 = 0 0 + 4x = 180 + -120 4x = 180 + -120 Combine like terms: 180 + -120 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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