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Simplifying 14 + -6x = 2 + -2(7x + 2) Reorder the terms: 14 + -6x = 2 + -2(2 + 7x) 14 + -6x = 2 + (2 * -2 + 7x * -2) 14 + -6x = 2 + (-4 + -14x) Combine like terms: 2 + -4 = -2 14 + -6x = -2 + -14x Solving 14 + -6x = -2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 14 + -6x + 14x = -2 + -14x + 14x Combine like terms: -6x + 14x = 8x 14 + 8x = -2 + -14x + 14x Combine like terms: -14x + 14x = 0 14 + 8x = -2 + 0 14 + 8x = -2 Add '-14' to each side of the equation. 14 + -14 + 8x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -2 + -14 8x = -2 + -14 Combine like terms: -2 + -14 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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