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Simplifying 8(4x + -5) = 7(5x + 4) Reorder the terms: 8(-5 + 4x) = 7(5x + 4) (-5 * 8 + 4x * 8) = 7(5x + 4) (-40 + 32x) = 7(5x + 4) Reorder the terms: -40 + 32x = 7(4 + 5x) -40 + 32x = (4 * 7 + 5x * 7) -40 + 32x = (28 + 35x) Solving -40 + 32x = 28 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -40 + 32x + -35x = 28 + 35x + -35x Combine like terms: 32x + -35x = -3x -40 + -3x = 28 + 35x + -35x Combine like terms: 35x + -35x = 0 -40 + -3x = 28 + 0 -40 + -3x = 28 Add '40' to each side of the equation. -40 + 40 + -3x = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -3x = 28 + 40 -3x = 28 + 40 Combine like terms: 28 + 40 = 68 -3x = 68 Divide each side by '-3'. x = -22.66666667 Simplifying x = -22.66666667
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