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Simplifying 15x + 2 = 8(10 + 3x) Reorder the terms: 2 + 15x = 8(10 + 3x) 2 + 15x = (10 * 8 + 3x * 8) 2 + 15x = (80 + 24x) Solving 2 + 15x = 80 + 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. 2 + 15x + -24x = 80 + 24x + -24x Combine like terms: 15x + -24x = -9x 2 + -9x = 80 + 24x + -24x Combine like terms: 24x + -24x = 0 2 + -9x = 80 + 0 2 + -9x = 80 Add '-2' to each side of the equation. 2 + -2 + -9x = 80 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 80 + -2 -9x = 80 + -2 Combine like terms: 80 + -2 = 78 -9x = 78 Divide each side by '-9'. x = -8.666666667 Simplifying x = -8.666666667
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