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Simplifying 12x + 42 = 10x + -2x + -14 Reorder the terms: 42 + 12x = 10x + -2x + -14 Reorder the terms: 42 + 12x = -14 + 10x + -2x Combine like terms: 10x + -2x = 8x 42 + 12x = -14 + 8x Solving 42 + 12x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 12x + -8x = -14 + 8x + -8x Combine like terms: 12x + -8x = 4x 42 + 4x = -14 + 8x + -8x Combine like terms: 8x + -8x = 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 = -56 4x = -56 Divide each side by '4'. x = -14 Simplifying x = -14
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