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Simplifying 3x + 24 = 4x + 10 Reorder the terms: 24 + 3x = 4x + 10 Reorder the terms: 24 + 3x = 10 + 4x Solving 24 + 3x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 3x + -4x = 10 + 4x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -1x = 10 + 0 24 + -1x = 10 Add '-24' to each side of the equation. 24 + -24 + -1x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 10 + -24 -1x = 10 + -24 Combine like terms: 10 + -24 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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