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Simplifying -3(4x + -2) + -6 = -3(7x + 1) + -5 Reorder the terms: -3(-2 + 4x) + -6 = -3(7x + 1) + -5 (-2 * -3 + 4x * -3) + -6 = -3(7x + 1) + -5 (6 + -12x) + -6 = -3(7x + 1) + -5 Reorder the terms: 6 + -6 + -12x = -3(7x + 1) + -5 Combine like terms: 6 + -6 = 0 0 + -12x = -3(7x + 1) + -5 -12x = -3(7x + 1) + -5 Reorder the terms: -12x = -3(1 + 7x) + -5 -12x = (1 * -3 + 7x * -3) + -5 -12x = (-3 + -21x) + -5 Reorder the terms: -12x = -3 + -5 + -21x Combine like terms: -3 + -5 = -8 -12x = -8 + -21x Solving -12x = -8 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -12x + 21x = -8 + -21x + 21x Combine like terms: -12x + 21x = 9x 9x = -8 + -21x + 21x Combine like terms: -21x + 21x = 0 9x = -8 + 0 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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