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Simplifying 14 + -1(6x + -7) = -11x + -2x Reorder the terms: 14 + -1(-7 + 6x) = -11x + -2x 14 + (-7 * -1 + 6x * -1) = -11x + -2x 14 + (7 + -6x) = -11x + -2x Combine like terms: 14 + 7 = 21 21 + -6x = -11x + -2x Combine like terms: -11x + -2x = -13x 21 + -6x = -13x Solving 21 + -6x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 21 + -6x + 13x = -13x + 13x Combine like terms: -6x + 13x = 7x 21 + 7x = -13x + 13x Combine like terms: -13x + 13x = 0 21 + 7x = 0 Add '-21' to each side of the equation. 21 + -21 + 7x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 0 + -21 7x = 0 + -21 Combine like terms: 0 + -21 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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