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Simplifying x + 42 = 5x + 14 Reorder the terms: 42 + x = 5x + 14 Reorder the terms: 42 + x = 14 + 5x Solving 42 + x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + x + -5x = 14 + 5x + -5x Combine like terms: x + -5x = -4x 42 + -4x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -4x = 14 + 0 42 + -4x = 14 Add '-42' to each side of the equation. 42 + -42 + -4x = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 14 + -42 -4x = 14 + -42 Combine like terms: 14 + -42 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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