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Simplifying 4x + -8x + 46 = 3x + 32 Reorder the terms: 46 + 4x + -8x = 3x + 32 Combine like terms: 4x + -8x = -4x 46 + -4x = 3x + 32 Reorder the terms: 46 + -4x = 32 + 3x Solving 46 + -4x = 32 + 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. 46 + -4x + -3x = 32 + 3x + -3x Combine like terms: -4x + -3x = -7x 46 + -7x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + -7x = 32 + 0 46 + -7x = 32 Add '-46' to each side of the equation. 46 + -46 + -7x = 32 + -46 Combine like terms: 46 + -46 = 0 0 + -7x = 32 + -46 -7x = 32 + -46 Combine like terms: 32 + -46 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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