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