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Simplifying 5(9x + -8) + -5x = 9x + -9 Reorder the terms: 5(-8 + 9x) + -5x = 9x + -9 (-8 * 5 + 9x * 5) + -5x = 9x + -9 (-40 + 45x) + -5x = 9x + -9 Combine like terms: 45x + -5x = 40x -40 + 40x = 9x + -9 Reorder the terms: -40 + 40x = -9 + 9x Solving -40 + 40x = -9 + 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. -40 + 40x + -9x = -9 + 9x + -9x Combine like terms: 40x + -9x = 31x -40 + 31x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + 31x = -9 + 0 -40 + 31x = -9 Add '40' to each side of the equation. -40 + 40 + 31x = -9 + 40 Combine like terms: -40 + 40 = 0 0 + 31x = -9 + 40 31x = -9 + 40 Combine like terms: -9 + 40 = 31 31x = 31 Divide each side by '31'. x = 1 Simplifying x = 1
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