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Simplifying 2(x + -1) = 2x + 6 + -2(-9x + -4) Reorder the terms: 2(-1 + x) = 2x + 6 + -2(-9x + -4) (-1 * 2 + x * 2) = 2x + 6 + -2(-9x + -4) (-2 + 2x) = 2x + 6 + -2(-9x + -4) Reorder the terms: -2 + 2x = 2x + 6 + -2(-4 + -9x) -2 + 2x = 2x + 6 + (-4 * -2 + -9x * -2) -2 + 2x = 2x + 6 + (8 + 18x) Reorder the terms: -2 + 2x = 6 + 8 + 2x + 18x Combine like terms: 6 + 8 = 14 -2 + 2x = 14 + 2x + 18x Combine like terms: 2x + 18x = 20x -2 + 2x = 14 + 20x Solving -2 + 2x = 14 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -2 + 2x + -20x = 14 + 20x + -20x Combine like terms: 2x + -20x = -18x -2 + -18x = 14 + 20x + -20x Combine like terms: 20x + -20x = 0 -2 + -18x = 14 + 0 -2 + -18x = 14 Add '2' to each side of the equation. -2 + 2 + -18x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -18x = 14 + 2 -18x = 14 + 2 Combine like terms: 14 + 2 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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