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Simplifying -2(x + 6) = 2x + -6 + 2(7x + 5) Reorder the terms: -2(6 + x) = 2x + -6 + 2(7x + 5) (6 * -2 + x * -2) = 2x + -6 + 2(7x + 5) (-12 + -2x) = 2x + -6 + 2(7x + 5) Reorder the terms: -12 + -2x = 2x + -6 + 2(5 + 7x) -12 + -2x = 2x + -6 + (5 * 2 + 7x * 2) -12 + -2x = 2x + -6 + (10 + 14x) Reorder the terms: -12 + -2x = -6 + 10 + 2x + 14x Combine like terms: -6 + 10 = 4 -12 + -2x = 4 + 2x + 14x Combine like terms: 2x + 14x = 16x -12 + -2x = 4 + 16x Solving -12 + -2x = 4 + 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 = 4 + 16x + -16x Combine like terms: -2x + -16x = -18x -12 + -18x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -18x = 4 + 0 -12 + -18x = 4 Add '12' to each side of the equation. -12 + 12 + -18x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = 4 + 12 -18x = 4 + 12 Combine like terms: 4 + 12 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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