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Simplifying 5(2x + -9) + -1(9x + -8) = 0 Reorder the terms: 5(-9 + 2x) + -1(9x + -8) = 0 (-9 * 5 + 2x * 5) + -1(9x + -8) = 0 (-45 + 10x) + -1(9x + -8) = 0 Reorder the terms: -45 + 10x + -1(-8 + 9x) = 0 -45 + 10x + (-8 * -1 + 9x * -1) = 0 -45 + 10x + (8 + -9x) = 0 Reorder the terms: -45 + 8 + 10x + -9x = 0 Combine like terms: -45 + 8 = -37 -37 + 10x + -9x = 0 Combine like terms: 10x + -9x = 1x -37 + 1x = 0 Solving -37 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 1x = 0 + 37 1x = 0 + 37 Combine like terms: 0 + 37 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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