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Simplifying 7x + 14 = 3x + -1(11x + 5) Reorder the terms: 14 + 7x = 3x + -1(11x + 5) Reorder the terms: 14 + 7x = 3x + -1(5 + 11x) 14 + 7x = 3x + (5 * -1 + 11x * -1) 14 + 7x = 3x + (-5 + -11x) Reorder the terms: 14 + 7x = -5 + 3x + -11x Combine like terms: 3x + -11x = -8x 14 + 7x = -5 + -8x Solving 14 + 7x = -5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + 7x + 8x = -5 + -8x + 8x Combine like terms: 7x + 8x = 15x 14 + 15x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 15x = -5 + 0 14 + 15x = -5 Add '-14' to each side of the equation. 14 + -14 + 15x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -5 + -14 15x = -5 + -14 Combine like terms: -5 + -14 = -19 15x = -19 Divide each side by '15'. x = -1.266666667 Simplifying x = -1.266666667
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