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Simplifying 14 + 5x = 2 + -2(8 + -6x) 14 + 5x = 2 + (8 * -2 + -6x * -2) 14 + 5x = 2 + (-16 + 12x) Combine like terms: 2 + -16 = -14 14 + 5x = -14 + 12x Solving 14 + 5x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 5x + -12x = -14 + 12x + -12x Combine like terms: 5x + -12x = -7x 14 + -7x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -7x = -14 + 0 14 + -7x = -14 Add '-14' to each side of the equation. 14 + -14 + -7x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -14 + -14 -7x = -14 + -14 Combine like terms: -14 + -14 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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