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Simplifying -6(1 + 11x) + 10(-5 + 6x) = 10x + -4x (1 * -6 + 11x * -6) + 10(-5 + 6x) = 10x + -4x (-6 + -66x) + 10(-5 + 6x) = 10x + -4x -6 + -66x + (-5 * 10 + 6x * 10) = 10x + -4x -6 + -66x + (-50 + 60x) = 10x + -4x Reorder the terms: -6 + -50 + -66x + 60x = 10x + -4x Combine like terms: -6 + -50 = -56 -56 + -66x + 60x = 10x + -4x Combine like terms: -66x + 60x = -6x -56 + -6x = 10x + -4x Combine like terms: 10x + -4x = 6x -56 + -6x = 6x Solving -56 + -6x = 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. -56 + -6x + -6x = 6x + -6x Combine like terms: -6x + -6x = -12x -56 + -12x = 6x + -6x Combine like terms: 6x + -6x = 0 -56 + -12x = 0 Add '56' to each side of the equation. -56 + 56 + -12x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -12x = 0 + 56 -12x = 0 + 56 Combine like terms: 0 + 56 = 56 -12x = 56 Divide each side by '-12'. x = -4.666666667 Simplifying x = -4.666666667
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