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Simplifying 4x + 6x + -14 = 42 + -4x Reorder the terms: -14 + 4x + 6x = 42 + -4x Combine like terms: 4x + 6x = 10x -14 + 10x = 42 + -4x Solving -14 + 10x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + 10x + 4x = 42 + -4x + 4x Combine like terms: 10x + 4x = 14x -14 + 14x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 14x = 42 + 0 -14 + 14x = 42 Add '14' to each side of the equation. -14 + 14 + 14x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 42 + 14 14x = 42 + 14 Combine like terms: 42 + 14 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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