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Simplifying 4x + 5(x + -8) = 6(x + -8) Reorder the terms: 4x + 5(-8 + x) = 6(x + -8) 4x + (-8 * 5 + x * 5) = 6(x + -8) 4x + (-40 + 5x) = 6(x + -8) Reorder the terms: -40 + 4x + 5x = 6(x + -8) Combine like terms: 4x + 5x = 9x -40 + 9x = 6(x + -8) Reorder the terms: -40 + 9x = 6(-8 + x) -40 + 9x = (-8 * 6 + x * 6) -40 + 9x = (-48 + 6x) Solving -40 + 9x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -40 + 9x + -6x = -48 + 6x + -6x Combine like terms: 9x + -6x = 3x -40 + 3x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 3x = -48 + 0 -40 + 3x = -48 Add '40' to each side of the equation. -40 + 40 + 3x = -48 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = -48 + 40 3x = -48 + 40 Combine like terms: -48 + 40 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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