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Simplifying x + 5(x + -8) = x + -4(x + -5) Reorder the terms: x + 5(-8 + x) = x + -4(x + -5) x + (-8 * 5 + x * 5) = x + -4(x + -5) x + (-40 + 5x) = x + -4(x + -5) Reorder the terms: -40 + x + 5x = x + -4(x + -5) Combine like terms: x + 5x = 6x -40 + 6x = x + -4(x + -5) Reorder the terms: -40 + 6x = x + -4(-5 + x) -40 + 6x = x + (-5 * -4 + x * -4) -40 + 6x = x + (20 + -4x) Reorder the terms: -40 + 6x = 20 + x + -4x Combine like terms: x + -4x = -3x -40 + 6x = 20 + -3x Solving -40 + 6x = 20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -40 + 6x + 3x = 20 + -3x + 3x Combine like terms: 6x + 3x = 9x -40 + 9x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 -40 + 9x = 20 + 0 -40 + 9x = 20 Add '40' to each side of the equation. -40 + 40 + 9x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 20 + 40 9x = 20 + 40 Combine like terms: 20 + 40 = 60 9x = 60 Divide each side by '9'. x = 6.666666667 Simplifying x = 6.666666667
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