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Simplifying 8x + 42 = -6x Reorder the terms: 42 + 8x = -6x Solving 42 + 8x = -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. 42 + 8x + 6x = -6x + 6x Combine like terms: 8x + 6x = 14x 42 + 14x = -6x + 6x Combine like terms: -6x + 6x = 0 42 + 14x = 0 Add '-42' to each side of the equation. 42 + -42 + 14x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 14x = 0 + -42 14x = 0 + -42 Combine like terms: 0 + -42 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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