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Simplifying 5(x + -8) = x + 2 + -1(2x + 5) Reorder the terms: 5(-8 + x) = x + 2 + -1(2x + 5) (-8 * 5 + x * 5) = x + 2 + -1(2x + 5) (-40 + 5x) = x + 2 + -1(2x + 5) Reorder the terms: -40 + 5x = x + 2 + -1(5 + 2x) -40 + 5x = x + 2 + (5 * -1 + 2x * -1) -40 + 5x = x + 2 + (-5 + -2x) Reorder the terms: -40 + 5x = 2 + -5 + x + -2x Combine like terms: 2 + -5 = -3 -40 + 5x = -3 + x + -2x Combine like terms: x + -2x = -1x -40 + 5x = -3 + -1x Solving -40 + 5x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -40 + 5x + x = -3 + -1x + x Combine like terms: 5x + x = 6x -40 + 6x = -3 + -1x + x Combine like terms: -1x + x = 0 -40 + 6x = -3 + 0 -40 + 6x = -3 Add '40' to each side of the equation. -40 + 40 + 6x = -3 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = -3 + 40 6x = -3 + 40 Combine like terms: -3 + 40 = 37 6x = 37 Divide each side by '6'. x = 6.166666667 Simplifying x = 6.166666667
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