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Simplifying 8(4x + -5) = 11(9 + 8x) Reorder the terms: 8(-5 + 4x) = 11(9 + 8x) (-5 * 8 + 4x * 8) = 11(9 + 8x) (-40 + 32x) = 11(9 + 8x) -40 + 32x = (9 * 11 + 8x * 11) -40 + 32x = (99 + 88x) Solving -40 + 32x = 99 + 88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88x' to each side of the equation. -40 + 32x + -88x = 99 + 88x + -88x Combine like terms: 32x + -88x = -56x -40 + -56x = 99 + 88x + -88x Combine like terms: 88x + -88x = 0 -40 + -56x = 99 + 0 -40 + -56x = 99 Add '40' to each side of the equation. -40 + 40 + -56x = 99 + 40 Combine like terms: -40 + 40 = 0 0 + -56x = 99 + 40 -56x = 99 + 40 Combine like terms: 99 + 40 = 139 -56x = 139 Divide each side by '-56'. x = -2.482142857 Simplifying x = -2.482142857
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