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Simplifying 4x + 24 = 3x + 42 Reorder the terms: 24 + 4x = 3x + 42 Reorder the terms: 24 + 4x = 42 + 3x Solving 24 + 4x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 4x + -3x = 42 + 3x + -3x Combine like terms: 4x + -3x = 1x 24 + 1x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 1x = 42 + 0 24 + 1x = 42 Add '-24' to each side of the equation. 24 + -24 + 1x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 42 + -24 1x = 42 + -24 Combine like terms: 42 + -24 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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