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Simplifying 5x + 42 = 12x + 14 Reorder the terms: 42 + 5x = 12x + 14 Reorder the terms: 42 + 5x = 14 + 12x Solving 42 + 5x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 5x + -12x = 14 + 12x + -12x Combine like terms: 5x + -12x = -7x 42 + -7x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -7x = 14 + 0 42 + -7x = 14 Add '-42' to each side of the equation. 42 + -42 + -7x = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 14 + -42 -7x = 14 + -42 Combine like terms: 14 + -42 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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