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