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Simplifying 46 + 3x = 5x + -7 Reorder the terms: 46 + 3x = -7 + 5x Solving 46 + 3x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 46 + 3x + -5x = -7 + 5x + -5x Combine like terms: 3x + -5x = -2x 46 + -2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + -2x = -7 + 0 46 + -2x = -7 Add '-46' to each side of the equation. 46 + -46 + -2x = -7 + -46 Combine like terms: 46 + -46 = 0 0 + -2x = -7 + -46 -2x = -7 + -46 Combine like terms: -7 + -46 = -53 -2x = -53 Divide each side by '-2'. x = 26.5 Simplifying x = 26.5
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