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Simplifying 8(4x + -5) = 9(x + -6) + -5 Reorder the terms: 8(-5 + 4x) = 9(x + -6) + -5 (-5 * 8 + 4x * 8) = 9(x + -6) + -5 (-40 + 32x) = 9(x + -6) + -5 Reorder the terms: -40 + 32x = 9(-6 + x) + -5 -40 + 32x = (-6 * 9 + x * 9) + -5 -40 + 32x = (-54 + 9x) + -5 Reorder the terms: -40 + 32x = -54 + -5 + 9x Combine like terms: -54 + -5 = -59 -40 + 32x = -59 + 9x Solving -40 + 32x = -59 + 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 + 32x + -9x = -59 + 9x + -9x Combine like terms: 32x + -9x = 23x -40 + 23x = -59 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + 23x = -59 + 0 -40 + 23x = -59 Add '40' to each side of the equation. -40 + 40 + 23x = -59 + 40 Combine like terms: -40 + 40 = 0 0 + 23x = -59 + 40 23x = -59 + 40 Combine like terms: -59 + 40 = -19 23x = -19 Divide each side by '23'. x = -0.8260869565 Simplifying x = -0.8260869565
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