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Simplifying 15x + 24 = 8(10 + 3x) + -2 Reorder the terms: 24 + 15x = 8(10 + 3x) + -2 24 + 15x = (10 * 8 + 3x * 8) + -2 24 + 15x = (80 + 24x) + -2 Reorder the terms: 24 + 15x = 80 + -2 + 24x Combine like terms: 80 + -2 = 78 24 + 15x = 78 + 24x Solving 24 + 15x = 78 + 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. 24 + 15x + -24x = 78 + 24x + -24x Combine like terms: 15x + -24x = -9x 24 + -9x = 78 + 24x + -24x Combine like terms: 24x + -24x = 0 24 + -9x = 78 + 0 24 + -9x = 78 Add '-24' to each side of the equation. 24 + -24 + -9x = 78 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 78 + -24 -9x = 78 + -24 Combine like terms: 78 + -24 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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