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Simplifying 15x + 10 = 24x + -42 Reorder the terms: 10 + 15x = 24x + -42 Reorder the terms: 10 + 15x = -42 + 24x Solving 10 + 15x = -42 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + 15x + -24x = -42 + 24x + -24x Combine like terms: 15x + -24x = -9x 10 + -9x = -42 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -9x = -42 + 0 10 + -9x = -42 Add '-10' to each side of the equation. 10 + -10 + -9x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -42 + -10 -9x = -42 + -10 Combine like terms: -42 + -10 = -52 -9x = -52 Divide each side by '-9'. x = 5.777777778 Simplifying x = 5.777777778
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