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Simplifying 5(2x + -1) = 9(x + 1) + -8 Reorder the terms: 5(-1 + 2x) = 9(x + 1) + -8 (-1 * 5 + 2x * 5) = 9(x + 1) + -8 (-5 + 10x) = 9(x + 1) + -8 Reorder the terms: -5 + 10x = 9(1 + x) + -8 -5 + 10x = (1 * 9 + x * 9) + -8 -5 + 10x = (9 + 9x) + -8 Reorder the terms: -5 + 10x = 9 + -8 + 9x Combine like terms: 9 + -8 = 1 -5 + 10x = 1 + 9x Solving -5 + 10x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x -5 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 1x = 1 + 0 -5 + 1x = 1 Add '5' to each side of the equation. -5 + 5 + 1x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 1 + 5 1x = 1 + 5 Combine like terms: 1 + 5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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