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Simplifying 10x + -42 = 3x + 49 Reorder the terms: -42 + 10x = 3x + 49 Reorder the terms: -42 + 10x = 49 + 3x Solving -42 + 10x = 49 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + 10x + -3x = 49 + 3x + -3x Combine like terms: 10x + -3x = 7x -42 + 7x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 7x = 49 + 0 -42 + 7x = 49 Add '42' to each side of the equation. -42 + 42 + 7x = 49 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 49 + 42 7x = 49 + 42 Combine like terms: 49 + 42 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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