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Simplifying 1 + 5(x + -8) = 2 + -1(x + 5) Reorder the terms: 1 + 5(-8 + x) = 2 + -1(x + 5) 1 + (-8 * 5 + x * 5) = 2 + -1(x + 5) 1 + (-40 + 5x) = 2 + -1(x + 5) Combine like terms: 1 + -40 = -39 -39 + 5x = 2 + -1(x + 5) Reorder the terms: -39 + 5x = 2 + -1(5 + x) -39 + 5x = 2 + (5 * -1 + x * -1) -39 + 5x = 2 + (-5 + -1x) Combine like terms: 2 + -5 = -3 -39 + 5x = -3 + -1x Solving -39 + 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. -39 + 5x + x = -3 + -1x + x Combine like terms: 5x + x = 6x -39 + 6x = -3 + -1x + x Combine like terms: -1x + x = 0 -39 + 6x = -3 + 0 -39 + 6x = -3 Add '39' to each side of the equation. -39 + 39 + 6x = -3 + 39 Combine like terms: -39 + 39 = 0 0 + 6x = -3 + 39 6x = -3 + 39 Combine like terms: -3 + 39 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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