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Simplifying 4x + -4 = -46 + -3x Reorder the terms: -4 + 4x = -46 + -3x Solving -4 + 4x = -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 + 4x + 3x = -46 + -3x + 3x Combine like terms: 4x + 3x = 7x -4 + 7x = -46 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 7x = -46 + 0 -4 + 7x = -46 Add '4' to each side of the equation. -4 + 4 + 7x = -46 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -46 + 4 7x = -46 + 4 Combine like terms: -46 + 4 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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