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Simplifying 5x + -10 = -7x + 46 Reorder the terms: -10 + 5x = -7x + 46 Reorder the terms: -10 + 5x = 46 + -7x Solving -10 + 5x = 46 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 5x + 7x = 46 + -7x + 7x Combine like terms: 5x + 7x = 12x -10 + 12x = 46 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 12x = 46 + 0 -10 + 12x = 46 Add '10' to each side of the equation. -10 + 10 + 12x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 46 + 10 12x = 46 + 10 Combine like terms: 46 + 10 = 56 12x = 56 Divide each side by '12'. x = 4.666666667 Simplifying x = 4.666666667
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