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Simplifying -1(3x + 2) + -1(3x + -4) = -8 + -1(2x + 2) Reorder the terms: -1(2 + 3x) + -1(3x + -4) = -8 + -1(2x + 2) (2 * -1 + 3x * -1) + -1(3x + -4) = -8 + -1(2x + 2) (-2 + -3x) + -1(3x + -4) = -8 + -1(2x + 2) Reorder the terms: -2 + -3x + -1(-4 + 3x) = -8 + -1(2x + 2) -2 + -3x + (-4 * -1 + 3x * -1) = -8 + -1(2x + 2) -2 + -3x + (4 + -3x) = -8 + -1(2x + 2) Reorder the terms: -2 + 4 + -3x + -3x = -8 + -1(2x + 2) Combine like terms: -2 + 4 = 2 2 + -3x + -3x = -8 + -1(2x + 2) Combine like terms: -3x + -3x = -6x 2 + -6x = -8 + -1(2x + 2) Reorder the terms: 2 + -6x = -8 + -1(2 + 2x) 2 + -6x = -8 + (2 * -1 + 2x * -1) 2 + -6x = -8 + (-2 + -2x) Combine like terms: -8 + -2 = -10 2 + -6x = -10 + -2x Solving 2 + -6x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + -6x + 2x = -10 + -2x + 2x Combine like terms: -6x + 2x = -4x 2 + -4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + -4x = -10 + 0 2 + -4x = -10 Add '-2' to each side of the equation. 2 + -2 + -4x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -10 + -2 -4x = -10 + -2 Combine like terms: -10 + -2 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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