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Simplifying x + 74 = 2x + 24 Reorder the terms: 74 + x = 2x + 24 Reorder the terms: 74 + x = 24 + 2x Solving 74 + x = 24 + 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. 74 + x + -2x = 24 + 2x + -2x Combine like terms: x + -2x = -1x 74 + -1x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 74 + -1x = 24 + 0 74 + -1x = 24 Add '-74' to each side of the equation. 74 + -74 + -1x = 24 + -74 Combine like terms: 74 + -74 = 0 0 + -1x = 24 + -74 -1x = 24 + -74 Combine like terms: 24 + -74 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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