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Simplifying -2(x + -4) + -1(3x + -2) = 2 + -1(6x + -2) Reorder the terms: -2(-4 + x) + -1(3x + -2) = 2 + -1(6x + -2) (-4 * -2 + x * -2) + -1(3x + -2) = 2 + -1(6x + -2) (8 + -2x) + -1(3x + -2) = 2 + -1(6x + -2) Reorder the terms: 8 + -2x + -1(-2 + 3x) = 2 + -1(6x + -2) 8 + -2x + (-2 * -1 + 3x * -1) = 2 + -1(6x + -2) 8 + -2x + (2 + -3x) = 2 + -1(6x + -2) Reorder the terms: 8 + 2 + -2x + -3x = 2 + -1(6x + -2) Combine like terms: 8 + 2 = 10 10 + -2x + -3x = 2 + -1(6x + -2) Combine like terms: -2x + -3x = -5x 10 + -5x = 2 + -1(6x + -2) Reorder the terms: 10 + -5x = 2 + -1(-2 + 6x) 10 + -5x = 2 + (-2 * -1 + 6x * -1) 10 + -5x = 2 + (2 + -6x) Combine like terms: 2 + 2 = 4 10 + -5x = 4 + -6x Solving 10 + -5x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + -5x + 6x = 4 + -6x + 6x Combine like terms: -5x + 6x = 1x 10 + 1x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 1x = 4 + 0 10 + 1x = 4 Add '-10' to each side of the equation. 10 + -10 + 1x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 4 + -10 1x = 4 + -10 Combine like terms: 4 + -10 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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