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Simplifying 6x + 14 = 7x + -2 Reorder the terms: 14 + 6x = 7x + -2 Reorder the terms: 14 + 6x = -2 + 7x Solving 14 + 6x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 6x + -7x = -2 + 7x + -7x Combine like terms: 6x + -7x = -1x 14 + -1x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -1x = -2 + 0 14 + -1x = -2 Add '-14' to each side of the equation. 14 + -14 + -1x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -2 + -14 -1x = -2 + -14 Combine like terms: -2 + -14 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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