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Simplifying 14 + -1x(x + 3) = 2x + -1x(x + -6) Reorder the terms: 14 + -1x(3 + x) = 2x + -1x(x + -6) 14 + (3 * -1x + x * -1x) = 2x + -1x(x + -6) 14 + (-3x + -1x2) = 2x + -1x(x + -6) Reorder the terms: 14 + -3x + -1x2 = 2x + -1x(-6 + x) 14 + -3x + -1x2 = 2x + (-6 * -1x + x * -1x) 14 + -3x + -1x2 = 2x + (6x + -1x2) Combine like terms: 2x + 6x = 8x 14 + -3x + -1x2 = 8x + -1x2 Add 'x2' to each side of the equation. 14 + -3x + -1x2 + x2 = 8x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 14 + -3x + 0 = 8x + -1x2 + x2 14 + -3x = 8x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 14 + -3x = 8x + 0 14 + -3x = 8x Solving 14 + -3x = 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 + -3x + -8x = 8x + -8x Combine like terms: -3x + -8x = -11x 14 + -11x = 8x + -8x Combine like terms: 8x + -8x = 0 14 + -11x = 0 Add '-14' to each side of the equation. 14 + -14 + -11x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = 0 + -14 -11x = 0 + -14 Combine like terms: 0 + -14 = -14 -11x = -14 Divide each side by '-11'. x = 1.272727273 Simplifying x = 1.272727273
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