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Simplifying -2(x + 6) = 4x + -4 + 3(4x + 2) Reorder the terms: -2(6 + x) = 4x + -4 + 3(4x + 2) (6 * -2 + x * -2) = 4x + -4 + 3(4x + 2) (-12 + -2x) = 4x + -4 + 3(4x + 2) Reorder the terms: -12 + -2x = 4x + -4 + 3(2 + 4x) -12 + -2x = 4x + -4 + (2 * 3 + 4x * 3) -12 + -2x = 4x + -4 + (6 + 12x) Reorder the terms: -12 + -2x = -4 + 6 + 4x + 12x Combine like terms: -4 + 6 = 2 -12 + -2x = 2 + 4x + 12x Combine like terms: 4x + 12x = 16x -12 + -2x = 2 + 16x Solving -12 + -2x = 2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + -2x + -16x = 2 + 16x + -16x Combine like terms: -2x + -16x = -18x -12 + -18x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -18x = 2 + 0 -12 + -18x = 2 Add '12' to each side of the equation. -12 + 12 + -18x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = 2 + 12 -18x = 2 + 12 Combine like terms: 2 + 12 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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