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Simplifying 5x + -46 = 2x + -7 Reorder the terms: -46 + 5x = 2x + -7 Reorder the terms: -46 + 5x = -7 + 2x Solving -46 + 5x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -46 + 5x + -2x = -7 + 2x + -2x Combine like terms: 5x + -2x = 3x -46 + 3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -46 + 3x = -7 + 0 -46 + 3x = -7 Add '46' to each side of the equation. -46 + 46 + 3x = -7 + 46 Combine like terms: -46 + 46 = 0 0 + 3x = -7 + 46 3x = -7 + 46 Combine like terms: -7 + 46 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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