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Simplifying -6(5x + 2) + -2(3 + -12x) = -9 + 3(4x + 1) Reorder the terms: -6(2 + 5x) + -2(3 + -12x) = -9 + 3(4x + 1) (2 * -6 + 5x * -6) + -2(3 + -12x) = -9 + 3(4x + 1) (-12 + -30x) + -2(3 + -12x) = -9 + 3(4x + 1) -12 + -30x + (3 * -2 + -12x * -2) = -9 + 3(4x + 1) -12 + -30x + (-6 + 24x) = -9 + 3(4x + 1) Reorder the terms: -12 + -6 + -30x + 24x = -9 + 3(4x + 1) Combine like terms: -12 + -6 = -18 -18 + -30x + 24x = -9 + 3(4x + 1) Combine like terms: -30x + 24x = -6x -18 + -6x = -9 + 3(4x + 1) Reorder the terms: -18 + -6x = -9 + 3(1 + 4x) -18 + -6x = -9 + (1 * 3 + 4x * 3) -18 + -6x = -9 + (3 + 12x) Combine like terms: -9 + 3 = -6 -18 + -6x = -6 + 12x Solving -18 + -6x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + -6x + -12x = -6 + 12x + -12x Combine like terms: -6x + -12x = -18x -18 + -18x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -18x = -6 + 0 -18 + -18x = -6 Add '18' to each side of the equation. -18 + 18 + -18x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -18x = -6 + 18 -18x = -6 + 18 Combine like terms: -6 + 18 = 12 -18x = 12 Divide each side by '-18'. x = -0.6666666667 Simplifying x = -0.6666666667
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