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Simplifying 4x + -1(5x + -11) = -2(4 + -6x) Reorder the terms: 4x + -1(-11 + 5x) = -2(4 + -6x) 4x + (-11 * -1 + 5x * -1) = -2(4 + -6x) 4x + (11 + -5x) = -2(4 + -6x) Reorder the terms: 11 + 4x + -5x = -2(4 + -6x) Combine like terms: 4x + -5x = -1x 11 + -1x = -2(4 + -6x) 11 + -1x = (4 * -2 + -6x * -2) 11 + -1x = (-8 + 12x) Solving 11 + -1x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + -1x + -12x = -8 + 12x + -12x Combine like terms: -1x + -12x = -13x 11 + -13x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -13x = -8 + 0 11 + -13x = -8 Add '-11' to each side of the equation. 11 + -11 + -13x = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -13x = -8 + -11 -13x = -8 + -11 Combine like terms: -8 + -11 = -19 -13x = -19 Divide each side by '-13'. x = 1.461538462 Simplifying x = 1.461538462
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