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Simplifying 6x + 14 = -42 + -2x Reorder the terms: 14 + 6x = -42 + -2x Solving 14 + 6x = -42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 6x + 2x = -42 + -2x + 2x Combine like terms: 6x + 2x = 8x 14 + 8x = -42 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 8x = -42 + 0 14 + 8x = -42 Add '-14' to each side of the equation. 14 + -14 + 8x = -42 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -42 + -14 8x = -42 + -14 Combine like terms: -42 + -14 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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