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Simplifying 2(x + -2) = 6x + 5 + -7(-2x + -1) Reorder the terms: 2(-2 + x) = 6x + 5 + -7(-2x + -1) (-2 * 2 + x * 2) = 6x + 5 + -7(-2x + -1) (-4 + 2x) = 6x + 5 + -7(-2x + -1) Reorder the terms: -4 + 2x = 6x + 5 + -7(-1 + -2x) -4 + 2x = 6x + 5 + (-1 * -7 + -2x * -7) -4 + 2x = 6x + 5 + (7 + 14x) Reorder the terms: -4 + 2x = 5 + 7 + 6x + 14x Combine like terms: 5 + 7 = 12 -4 + 2x = 12 + 6x + 14x Combine like terms: 6x + 14x = 20x -4 + 2x = 12 + 20x Solving -4 + 2x = 12 + 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. -4 + 2x + -20x = 12 + 20x + -20x Combine like terms: 2x + -20x = -18x -4 + -18x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 -4 + -18x = 12 + 0 -4 + -18x = 12 Add '4' to each side of the equation. -4 + 4 + -18x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = 12 + 4 -18x = 12 + 4 Combine like terms: 12 + 4 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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