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Simplifying (5x + 8) + -1(-5x + 9) = 0 Reorder the terms: (8 + 5x) + -1(-5x + 9) = 0 Remove parenthesis around (8 + 5x) 8 + 5x + -1(-5x + 9) = 0 Reorder the terms: 8 + 5x + -1(9 + -5x) = 0 8 + 5x + (9 * -1 + -5x * -1) = 0 8 + 5x + (-9 + 5x) = 0 Reorder the terms: 8 + -9 + 5x + 5x = 0 Combine like terms: 8 + -9 = -1 -1 + 5x + 5x = 0 Combine like terms: 5x + 5x = 10x -1 + 10x = 0 Solving -1 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 0 + 1 10x = 0 + 1 Combine like terms: 0 + 1 = 1 10x = 1 Divide each side by '10'. x = 0.1 Simplifying x = 0.1
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