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Simplifying x + -4(x + 1) + -1(6x + -3x + -5) = -11 Reorder the terms: x + -4(1 + x) + -1(6x + -3x + -5) = -11 x + (1 * -4 + x * -4) + -1(6x + -3x + -5) = -11 x + (-4 + -4x) + -1(6x + -3x + -5) = -11 Reorder the terms: x + -4 + -4x + -1(-5 + 6x + -3x) = -11 Combine like terms: 6x + -3x = 3x x + -4 + -4x + -1(-5 + 3x) = -11 x + -4 + -4x + (-5 * -1 + 3x * -1) = -11 x + -4 + -4x + (5 + -3x) = -11 Reorder the terms: -4 + 5 + x + -4x + -3x = -11 Combine like terms: -4 + 5 = 1 1 + x + -4x + -3x = -11 Combine like terms: x + -4x = -3x 1 + -3x + -3x = -11 Combine like terms: -3x + -3x = -6x 1 + -6x = -11 Solving 1 + -6x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -11 + -1 -6x = -11 + -1 Combine like terms: -11 + -1 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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