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Simplifying -5x + 24 = -3x + 10 Reorder the terms: 24 + -5x = -3x + 10 Reorder the terms: 24 + -5x = 10 + -3x Solving 24 + -5x = 10 + -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 + -5x + 3x = 10 + -3x + 3x Combine like terms: -5x + 3x = -2x 24 + -2x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + -2x = 10 + 0 24 + -2x = 10 Add '-24' to each side of the equation. 24 + -24 + -2x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 10 + -24 -2x = 10 + -24 Combine like terms: 10 + -24 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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