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Simplifying -3x + -46 = 52 + 4x Reorder the terms: -46 + -3x = 52 + 4x Solving -46 + -3x = 52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -46 + -3x + -4x = 52 + 4x + -4x Combine like terms: -3x + -4x = -7x -46 + -7x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 -46 + -7x = 52 + 0 -46 + -7x = 52 Add '46' to each side of the equation. -46 + 46 + -7x = 52 + 46 Combine like terms: -46 + 46 = 0 0 + -7x = 52 + 46 -7x = 52 + 46 Combine like terms: 52 + 46 = 98 -7x = 98 Divide each side by '-7'. x = -14 Simplifying x = -14
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