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Simplifying -24 + 10x = 6x + 52 Reorder the terms: -24 + 10x = 52 + 6x Solving -24 + 10x = 52 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 10x + -6x = 52 + 6x + -6x Combine like terms: 10x + -6x = 4x -24 + 4x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 4x = 52 + 0 -24 + 4x = 52 Add '24' to each side of the equation. -24 + 24 + 4x = 52 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 52 + 24 4x = 52 + 24 Combine like terms: 52 + 24 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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