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Simplifying 14 + -7x = -5 + -2(8 + 6x) 14 + -7x = -5 + (8 * -2 + 6x * -2) 14 + -7x = -5 + (-16 + -12x) Combine like terms: -5 + -16 = -21 14 + -7x = -21 + -12x Solving 14 + -7x = -21 + -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 + -7x + 12x = -21 + -12x + 12x Combine like terms: -7x + 12x = 5x 14 + 5x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 5x = -21 + 0 14 + 5x = -21 Add '-14' to each side of the equation. 14 + -14 + 5x = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = -21 + -14 5x = -21 + -14 Combine like terms: -21 + -14 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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