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Simplifying -4x + -2 + -3x + -8 = 46 Reorder the terms: -2 + -8 + -4x + -3x = 46 Combine like terms: -2 + -8 = -10 -10 + -4x + -3x = 46 Combine like terms: -4x + -3x = -7x -10 + -7x = 46 Solving -10 + -7x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 46 + 10 -7x = 46 + 10 Combine like terms: 46 + 10 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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