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Simplifying 10x + -14 = 3x + 42 Reorder the terms: -14 + 10x = 3x + 42 Reorder the terms: -14 + 10x = 42 + 3x Solving -14 + 10x = 42 + 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. -14 + 10x + -3x = 42 + 3x + -3x Combine like terms: 10x + -3x = 7x -14 + 7x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 7x = 42 + 0 -14 + 7x = 42 Add '14' to each side of the equation. -14 + 14 + 7x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 42 + 14 7x = 42 + 14 Combine like terms: 42 + 14 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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