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Simplifying 4x + 14 = -13(2 + -1x) Reorder the terms: 14 + 4x = -13(2 + -1x) 14 + 4x = (2 * -13 + -1x * -13) 14 + 4x = (-26 + 13x) Solving 14 + 4x = -26 + 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. 14 + 4x + -13x = -26 + 13x + -13x Combine like terms: 4x + -13x = -9x 14 + -9x = -26 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + -9x = -26 + 0 14 + -9x = -26 Add '-14' to each side of the equation. 14 + -14 + -9x = -26 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -26 + -14 -9x = -26 + -14 Combine like terms: -26 + -14 = -40 -9x = -40 Divide each side by '-9'. x = 4.444444444 Simplifying x = 4.444444444
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