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Simplifying 5(2x + 8) + -1(3x + 1) + 9x = 0 Reorder the terms: 5(8 + 2x) + -1(3x + 1) + 9x = 0 (8 * 5 + 2x * 5) + -1(3x + 1) + 9x = 0 (40 + 10x) + -1(3x + 1) + 9x = 0 Reorder the terms: 40 + 10x + -1(1 + 3x) + 9x = 0 40 + 10x + (1 * -1 + 3x * -1) + 9x = 0 40 + 10x + (-1 + -3x) + 9x = 0 Reorder the terms: 40 + -1 + 10x + -3x + 9x = 0 Combine like terms: 40 + -1 = 39 39 + 10x + -3x + 9x = 0 Combine like terms: 10x + -3x = 7x 39 + 7x + 9x = 0 Combine like terms: 7x + 9x = 16x 39 + 16x = 0 Solving 39 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 16x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 16x = 0 + -39 16x = 0 + -39 Combine like terms: 0 + -39 = -39 16x = -39 Divide each side by '16'. x = -2.4375 Simplifying x = -2.4375
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