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Simplifying -12x + -3(6 + -6x) = 4(x + -2) -12x + (6 * -3 + -6x * -3) = 4(x + -2) -12x + (-18 + 18x) = 4(x + -2) Reorder the terms: -18 + -12x + 18x = 4(x + -2) Combine like terms: -12x + 18x = 6x -18 + 6x = 4(x + -2) Reorder the terms: -18 + 6x = 4(-2 + x) -18 + 6x = (-2 * 4 + x * 4) -18 + 6x = (-8 + 4x) Solving -18 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = -8 + 0 -18 + 2x = -8 Add '18' to each side of the equation. -18 + 18 + 2x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -8 + 18 2x = -8 + 18 Combine like terms: -8 + 18 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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