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Simplifying 1x + 15 + 60 = 2x + 30 Reorder the terms: 15 + 60 + 1x = 2x + 30 Combine like terms: 15 + 60 = 75 75 + 1x = 2x + 30 Reorder the terms: 75 + 1x = 30 + 2x Solving 75 + 1x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 75 + 1x + -2x = 30 + 2x + -2x Combine like terms: 1x + -2x = -1x 75 + -1x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + -1x = 30 + 0 75 + -1x = 30 Add '-75' to each side of the equation. 75 + -75 + -1x = 30 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 30 + -75 -1x = 30 + -75 Combine like terms: 30 + -75 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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