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Simplifying 6x + 14 = -2x + 46 Reorder the terms: 14 + 6x = -2x + 46 Reorder the terms: 14 + 6x = 46 + -2x Solving 14 + 6x = 46 + -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 = 46 + -2x + 2x Combine like terms: 6x + 2x = 8x 14 + 8x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 8x = 46 + 0 14 + 8x = 46 Add '-14' to each side of the equation. 14 + -14 + 8x = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 46 + -14 8x = 46 + -14 Combine like terms: 46 + -14 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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