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Simplifying -2 = 5(x + 9) + -8x Reorder the terms: -2 = 5(9 + x) + -8x -2 = (9 * 5 + x * 5) + -8x -2 = (45 + 5x) + -8x Combine like terms: 5x + -8x = -3x -2 = 45 + -3x Solving -2 = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 3x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 3x = 45 + 0 -2 + 3x = 45 Add '2' to each side of the equation. -2 + 2 + 3x = 45 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 45 + 2 3x = 45 + 2 Combine like terms: 45 + 2 = 47 3x = 47 Divide each side by '3'. x = 15.66666667 Simplifying x = 15.66666667
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