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Simplifying 2(x + 8) + 10 = 9x + -6 Reorder the terms: 2(8 + x) + 10 = 9x + -6 (8 * 2 + x * 2) + 10 = 9x + -6 (16 + 2x) + 10 = 9x + -6 Reorder the terms: 16 + 10 + 2x = 9x + -6 Combine like terms: 16 + 10 = 26 26 + 2x = 9x + -6 Reorder the terms: 26 + 2x = -6 + 9x Solving 26 + 2x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 26 + 2x + -9x = -6 + 9x + -9x Combine like terms: 2x + -9x = -7x 26 + -7x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 26 + -7x = -6 + 0 26 + -7x = -6 Add '-26' to each side of the equation. 26 + -26 + -7x = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -7x = -6 + -26 -7x = -6 + -26 Combine like terms: -6 + -26 = -32 -7x = -32 Divide each side by '-7'. x = 4.571428571 Simplifying x = 4.571428571
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