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Simplifying -2(-3 + -2x) + -1(1 + -4x) = 7x + -4x (-3 * -2 + -2x * -2) + -1(1 + -4x) = 7x + -4x (6 + 4x) + -1(1 + -4x) = 7x + -4x 6 + 4x + (1 * -1 + -4x * -1) = 7x + -4x 6 + 4x + (-1 + 4x) = 7x + -4x Reorder the terms: 6 + -1 + 4x + 4x = 7x + -4x Combine like terms: 6 + -1 = 5 5 + 4x + 4x = 7x + -4x Combine like terms: 4x + 4x = 8x 5 + 8x = 7x + -4x Combine like terms: 7x + -4x = 3x 5 + 8x = 3x Solving 5 + 8x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x 5 + 5x = 3x + -3x Combine like terms: 3x + -3x = 0 5 + 5x = 0 Add '-5' to each side of the equation. 5 + -5 + 5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 0 + -5 5x = 0 + -5 Combine like terms: 0 + -5 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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