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Simplifying 8.6x + -1(x + 5) = 3x + (x + -8) Reorder the terms: 8.6x + -1(5 + x) = 3x + (x + -8) 8.6x + (5 * -1 + x * -1) = 3x + (x + -8) 8.6x + (-5 + -1x) = 3x + (x + -8) Reorder the terms: -5 + 8.6x + -1x = 3x + (x + -8) Combine like terms: 8.6x + -1x = 7.6x -5 + 7.6x = 3x + (x + -8) Reorder the terms: -5 + 7.6x = 3x + (-8 + x) Remove parenthesis around (-8 + x) -5 + 7.6x = 3x + -8 + x Reorder the terms: -5 + 7.6x = -8 + 3x + x Combine like terms: 3x + x = 4x -5 + 7.6x = -8 + 4x Solving -5 + 7.6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 7.6x + -4x = -8 + 4x + -4x Combine like terms: 7.6x + -4x = 3.6x -5 + 3.6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 3.6x = -8 + 0 -5 + 3.6x = -8 Add '5' to each side of the equation. -5 + 5 + 3.6x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 3.6x = -8 + 5 3.6x = -8 + 5 Combine like terms: -8 + 5 = -3 3.6x = -3 Divide each side by '3.6'. x = -0.8333333333 Simplifying x = -0.8333333333
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