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Simplifying 8 + (5x + -6) = 3x + -1(x + 4) Reorder the terms: 8 + (-6 + 5x) = 3x + -1(x + 4) Remove parenthesis around (-6 + 5x) 8 + -6 + 5x = 3x + -1(x + 4) Combine like terms: 8 + -6 = 2 2 + 5x = 3x + -1(x + 4) Reorder the terms: 2 + 5x = 3x + -1(4 + x) 2 + 5x = 3x + (4 * -1 + x * -1) 2 + 5x = 3x + (-4 + -1x) Reorder the terms: 2 + 5x = -4 + 3x + -1x Combine like terms: 3x + -1x = 2x 2 + 5x = -4 + 2x Solving 2 + 5x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 5x + -2x = -4 + 2x + -2x Combine like terms: 5x + -2x = 3x 2 + 3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 3x = -4 + 0 2 + 3x = -4 Add '-2' to each side of the equation. 2 + -2 + 3x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -4 + -2 3x = -4 + -2 Combine like terms: -4 + -2 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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