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Simplifying 2(8x + 9) + -1(x + 8) = 78 Reorder the terms: 2(9 + 8x) + -1(x + 8) = 78 (9 * 2 + 8x * 2) + -1(x + 8) = 78 (18 + 16x) + -1(x + 8) = 78 Reorder the terms: 18 + 16x + -1(8 + x) = 78 18 + 16x + (8 * -1 + x * -1) = 78 18 + 16x + (-8 + -1x) = 78 Reorder the terms: 18 + -8 + 16x + -1x = 78 Combine like terms: 18 + -8 = 10 10 + 16x + -1x = 78 Combine like terms: 16x + -1x = 15x 10 + 15x = 78 Solving 10 + 15x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 15x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = 78 + -10 15x = 78 + -10 Combine like terms: 78 + -10 = 68 15x = 68 Divide each side by '15'. x = 4.533333333 Simplifying x = 4.533333333
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