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Simplifying -4(-2x + -1) + -1x = -3x + -46 Reorder the terms: -4(-1 + -2x) + -1x = -3x + -46 (-1 * -4 + -2x * -4) + -1x = -3x + -46 (4 + 8x) + -1x = -3x + -46 Combine like terms: 8x + -1x = 7x 4 + 7x = -3x + -46 Reorder the terms: 4 + 7x = -46 + -3x Solving 4 + 7x = -46 + -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. 4 + 7x + 3x = -46 + -3x + 3x Combine like terms: 7x + 3x = 10x 4 + 10x = -46 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 10x = -46 + 0 4 + 10x = -46 Add '-4' to each side of the equation. 4 + -4 + 10x = -46 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -46 + -4 10x = -46 + -4 Combine like terms: -46 + -4 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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