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Simplifying 3x + 46 = 3 + 8x + -7 Reorder the terms: 46 + 3x = 3 + 8x + -7 Reorder the terms: 46 + 3x = 3 + -7 + 8x Combine like terms: 3 + -7 = -4 46 + 3x = -4 + 8x Solving 46 + 3x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 46 + 3x + -8x = -4 + 8x + -8x Combine like terms: 3x + -8x = -5x 46 + -5x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -5x = -4 + 0 46 + -5x = -4 Add '-46' to each side of the equation. 46 + -46 + -5x = -4 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = -4 + -46 -5x = -4 + -46 Combine like terms: -4 + -46 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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