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Simplifying -3(4x + 2) = 6 + -1(x + -10) Reorder the terms: -3(2 + 4x) = 6 + -1(x + -10) (2 * -3 + 4x * -3) = 6 + -1(x + -10) (-6 + -12x) = 6 + -1(x + -10) Reorder the terms: -6 + -12x = 6 + -1(-10 + x) -6 + -12x = 6 + (-10 * -1 + x * -1) -6 + -12x = 6 + (10 + -1x) Combine like terms: 6 + 10 = 16 -6 + -12x = 16 + -1x Solving -6 + -12x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + -12x + x = 16 + -1x + x Combine like terms: -12x + x = -11x -6 + -11x = 16 + -1x + x Combine like terms: -1x + x = 0 -6 + -11x = 16 + 0 -6 + -11x = 16 Add '6' to each side of the equation. -6 + 6 + -11x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = 16 + 6 -11x = 16 + 6 Combine like terms: 16 + 6 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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