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Simplifying 1 + -6(-10x + 3) = 11(-11 + 2x) + 12x Reorder the terms: 1 + -6(3 + -10x) = 11(-11 + 2x) + 12x 1 + (3 * -6 + -10x * -6) = 11(-11 + 2x) + 12x 1 + (-18 + 60x) = 11(-11 + 2x) + 12x Combine like terms: 1 + -18 = -17 -17 + 60x = 11(-11 + 2x) + 12x -17 + 60x = (-11 * 11 + 2x * 11) + 12x -17 + 60x = (-121 + 22x) + 12x Combine like terms: 22x + 12x = 34x -17 + 60x = -121 + 34x Solving -17 + 60x = -121 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -17 + 60x + -34x = -121 + 34x + -34x Combine like terms: 60x + -34x = 26x -17 + 26x = -121 + 34x + -34x Combine like terms: 34x + -34x = 0 -17 + 26x = -121 + 0 -17 + 26x = -121 Add '17' to each side of the equation. -17 + 17 + 26x = -121 + 17 Combine like terms: -17 + 17 = 0 0 + 26x = -121 + 17 26x = -121 + 17 Combine like terms: -121 + 17 = -104 26x = -104 Divide each side by '26'. x = -4 Simplifying x = -4
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