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