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Simplifying 5x + 24 = 12x + 60 Reorder the terms: 24 + 5x = 12x + 60 Reorder the terms: 24 + 5x = 60 + 12x Solving 24 + 5x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 5x + -12x = 60 + 12x + -12x Combine like terms: 5x + -12x = -7x 24 + -7x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -7x = 60 + 0 24 + -7x = 60 Add '-24' to each side of the equation. 24 + -24 + -7x = 60 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 60 + -24 -7x = 60 + -24 Combine like terms: 60 + -24 = 36 -7x = 36 Divide each side by '-7'. x = -5.142857143 Simplifying x = -5.142857143
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