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Simplifying 15 + 5x + -3 = 46 + -2x Reorder the terms: 15 + -3 + 5x = 46 + -2x Combine like terms: 15 + -3 = 12 12 + 5x = 46 + -2x Solving 12 + 5x = 46 + -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. 12 + 5x + 2x = 46 + -2x + 2x Combine like terms: 5x + 2x = 7x 12 + 7x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 7x = 46 + 0 12 + 7x = 46 Add '-12' to each side of the equation. 12 + -12 + 7x = 46 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 46 + -12 7x = 46 + -12 Combine like terms: 46 + -12 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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