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Simplifying 8x + 5(9 + -1x) = 51 8x + (9 * 5 + -1x * 5) = 51 8x + (45 + -5x) = 51 Reorder the terms: 45 + 8x + -5x = 51 Combine like terms: 8x + -5x = 3x 45 + 3x = 51 Solving 45 + 3x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 3x = 51 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 51 + -45 3x = 51 + -45 Combine like terms: 51 + -45 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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