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Simplifying (10x + -8) + -1(8x + 1) = 0 Reorder the terms: (-8 + 10x) + -1(8x + 1) = 0 Remove parenthesis around (-8 + 10x) -8 + 10x + -1(8x + 1) = 0 Reorder the terms: -8 + 10x + -1(1 + 8x) = 0 -8 + 10x + (1 * -1 + 8x * -1) = 0 -8 + 10x + (-1 + -8x) = 0 Reorder the terms: -8 + -1 + 10x + -8x = 0 Combine like terms: -8 + -1 = -9 -9 + 10x + -8x = 0 Combine like terms: 10x + -8x = 2x -9 + 2x = 0 Solving -9 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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