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Simplifying -42 + 6x = 4x + 14 Reorder the terms: -42 + 6x = 14 + 4x Solving -42 + 6x = 14 + 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. -42 + 6x + -4x = 14 + 4x + -4x Combine like terms: 6x + -4x = 2x -42 + 2x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 2x = 14 + 0 -42 + 2x = 14 Add '42' to each side of the equation. -42 + 42 + 2x = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 14 + 42 2x = 14 + 42 Combine like terms: 14 + 42 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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