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Simplifying 8(3x + -5) = 9(5x + 1) Reorder the terms: 8(-5 + 3x) = 9(5x + 1) (-5 * 8 + 3x * 8) = 9(5x + 1) (-40 + 24x) = 9(5x + 1) Reorder the terms: -40 + 24x = 9(1 + 5x) -40 + 24x = (1 * 9 + 5x * 9) -40 + 24x = (9 + 45x) Solving -40 + 24x = 9 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -40 + 24x + -45x = 9 + 45x + -45x Combine like terms: 24x + -45x = -21x -40 + -21x = 9 + 45x + -45x Combine like terms: 45x + -45x = 0 -40 + -21x = 9 + 0 -40 + -21x = 9 Add '40' to each side of the equation. -40 + 40 + -21x = 9 + 40 Combine like terms: -40 + 40 = 0 0 + -21x = 9 + 40 -21x = 9 + 40 Combine like terms: 9 + 40 = 49 -21x = 49 Divide each side by '-21'. x = -2.333333333 Simplifying x = -2.333333333
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