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Simplifying -5(x + 2) = x + -6 + 6(2x + 2) Reorder the terms: -5(2 + x) = x + -6 + 6(2x + 2) (2 * -5 + x * -5) = x + -6 + 6(2x + 2) (-10 + -5x) = x + -6 + 6(2x + 2) Reorder the terms: -10 + -5x = x + -6 + 6(2 + 2x) -10 + -5x = x + -6 + (2 * 6 + 2x * 6) -10 + -5x = x + -6 + (12 + 12x) Reorder the terms: -10 + -5x = -6 + 12 + x + 12x Combine like terms: -6 + 12 = 6 -10 + -5x = 6 + x + 12x Combine like terms: x + 12x = 13x -10 + -5x = 6 + 13x Solving -10 + -5x = 6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + -5x + -13x = 6 + 13x + -13x Combine like terms: -5x + -13x = -18x -10 + -18x = 6 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + -18x = 6 + 0 -10 + -18x = 6 Add '10' to each side of the equation. -10 + 10 + -18x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -18x = 6 + 10 -18x = 6 + 10 Combine like terms: 6 + 10 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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