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Simplifying 3 + -1(-3x + 1) + -2(3x + -1) = x + -5(x + -2) Reorder the terms: 3 + -1(1 + -3x) + -2(3x + -1) = x + -5(x + -2) 3 + (1 * -1 + -3x * -1) + -2(3x + -1) = x + -5(x + -2) 3 + (-1 + 3x) + -2(3x + -1) = x + -5(x + -2) Reorder the terms: 3 + -1 + 3x + -2(-1 + 3x) = x + -5(x + -2) 3 + -1 + 3x + (-1 * -2 + 3x * -2) = x + -5(x + -2) 3 + -1 + 3x + (2 + -6x) = x + -5(x + -2) Reorder the terms: 3 + -1 + 2 + 3x + -6x = x + -5(x + -2) Combine like terms: 3 + -1 = 2 2 + 2 + 3x + -6x = x + -5(x + -2) Combine like terms: 2 + 2 = 4 4 + 3x + -6x = x + -5(x + -2) Combine like terms: 3x + -6x = -3x 4 + -3x = x + -5(x + -2) Reorder the terms: 4 + -3x = x + -5(-2 + x) 4 + -3x = x + (-2 * -5 + x * -5) 4 + -3x = x + (10 + -5x) Reorder the terms: 4 + -3x = 10 + x + -5x Combine like terms: x + -5x = -4x 4 + -3x = 10 + -4x Solving 4 + -3x = 10 + -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. 4 + -3x + 4x = 10 + -4x + 4x Combine like terms: -3x + 4x = 1x 4 + 1x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 1x = 10 + 0 4 + 1x = 10 Add '-4' to each side of the equation. 4 + -4 + 1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 10 + -4 1x = 10 + -4 Combine like terms: 10 + -4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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