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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 = 0 10 + -5x = 0 + -6x 10 + -5x = -6x Solving 10 + -5x = -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 = -6x + 6x Combine like terms: -5x + 6x = 1x 10 + 1x = -6x + 6x Combine like terms: -6x + 6x = 0 10 + 1x = 0 Add '-10' to each side of the equation. 10 + -10 + 1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 0 + -10 1x = 0 + -10 Combine like terms: 0 + -10 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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