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Simplifying 2 + -1(5x + -25) = 6(x + -2) Reorder the terms: 2 + -1(-25 + 5x) = 6(x + -2) 2 + (-25 * -1 + 5x * -1) = 6(x + -2) 2 + (25 + -5x) = 6(x + -2) Combine like terms: 2 + 25 = 27 27 + -5x = 6(x + -2) Reorder the terms: 27 + -5x = 6(-2 + x) 27 + -5x = (-2 * 6 + x * 6) 27 + -5x = (-12 + 6x) Solving 27 + -5x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + -5x + -6x = -12 + 6x + -6x Combine like terms: -5x + -6x = -11x 27 + -11x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -11x = -12 + 0 27 + -11x = -12 Add '-27' to each side of the equation. 27 + -27 + -11x = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -11x = -12 + -27 -11x = -12 + -27 Combine like terms: -12 + -27 = -39 -11x = -39 Divide each side by '-11'. x = 3.545454545 Simplifying x = 3.545454545
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