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