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Simplifying 10x + -42 = 7x + 49 Reorder the terms: -42 + 10x = 7x + 49 Reorder the terms: -42 + 10x = 49 + 7x Solving -42 + 10x = 49 + 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. -42 + 10x + -7x = 49 + 7x + -7x Combine like terms: 10x + -7x = 3x -42 + 3x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 3x = 49 + 0 -42 + 3x = 49 Add '42' to each side of the equation. -42 + 42 + 3x = 49 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 49 + 42 3x = 49 + 42 Combine like terms: 49 + 42 = 91 3x = 91 Divide each side by '3'. x = 30.33333333 Simplifying x = 30.33333333
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