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