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Simplifying -6 + 2(6x + -6) = 4 + -6(2x + 6) Reorder the terms: -6 + 2(-6 + 6x) = 4 + -6(2x + 6) -6 + (-6 * 2 + 6x * 2) = 4 + -6(2x + 6) -6 + (-12 + 12x) = 4 + -6(2x + 6) Combine like terms: -6 + -12 = -18 -18 + 12x = 4 + -6(2x + 6) Reorder the terms: -18 + 12x = 4 + -6(6 + 2x) -18 + 12x = 4 + (6 * -6 + 2x * -6) -18 + 12x = 4 + (-36 + -12x) Combine like terms: 4 + -36 = -32 -18 + 12x = -32 + -12x Solving -18 + 12x = -32 + -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 + 12x + 12x = -32 + -12x + 12x Combine like terms: 12x + 12x = 24x -18 + 24x = -32 + -12x + 12x Combine like terms: -12x + 12x = 0 -18 + 24x = -32 + 0 -18 + 24x = -32 Add '18' to each side of the equation. -18 + 18 + 24x = -32 + 18 Combine like terms: -18 + 18 = 0 0 + 24x = -32 + 18 24x = -32 + 18 Combine like terms: -32 + 18 = -14 24x = -14 Divide each side by '24'. x = -0.5833333333 Simplifying x = -0.5833333333
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