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Simplifying -3(-7x + -6) + 11x = 14 + -1(10x + -19) Reorder the terms: -3(-6 + -7x) + 11x = 14 + -1(10x + -19) (-6 * -3 + -7x * -3) + 11x = 14 + -1(10x + -19) (18 + 21x) + 11x = 14 + -1(10x + -19) Combine like terms: 21x + 11x = 32x 18 + 32x = 14 + -1(10x + -19) Reorder the terms: 18 + 32x = 14 + -1(-19 + 10x) 18 + 32x = 14 + (-19 * -1 + 10x * -1) 18 + 32x = 14 + (19 + -10x) Combine like terms: 14 + 19 = 33 18 + 32x = 33 + -10x Solving 18 + 32x = 33 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 18 + 32x + 10x = 33 + -10x + 10x Combine like terms: 32x + 10x = 42x 18 + 42x = 33 + -10x + 10x Combine like terms: -10x + 10x = 0 18 + 42x = 33 + 0 18 + 42x = 33 Add '-18' to each side of the equation. 18 + -18 + 42x = 33 + -18 Combine like terms: 18 + -18 = 0 0 + 42x = 33 + -18 42x = 33 + -18 Combine like terms: 33 + -18 = 15 42x = 15 Divide each side by '42'. x = 0.3571428571 Simplifying x = 0.3571428571
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