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Simplifying -2(x + 5) = 2x + -8 + 2(5x + 2) Reorder the terms: -2(5 + x) = 2x + -8 + 2(5x + 2) (5 * -2 + x * -2) = 2x + -8 + 2(5x + 2) (-10 + -2x) = 2x + -8 + 2(5x + 2) Reorder the terms: -10 + -2x = 2x + -8 + 2(2 + 5x) -10 + -2x = 2x + -8 + (2 * 2 + 5x * 2) -10 + -2x = 2x + -8 + (4 + 10x) Reorder the terms: -10 + -2x = -8 + 4 + 2x + 10x Combine like terms: -8 + 4 = -4 -10 + -2x = -4 + 2x + 10x Combine like terms: 2x + 10x = 12x -10 + -2x = -4 + 12x Solving -10 + -2x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + -2x + -12x = -4 + 12x + -12x Combine like terms: -2x + -12x = -14x -10 + -14x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -14x = -4 + 0 -10 + -14x = -4 Add '10' to each side of the equation. -10 + 10 + -14x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = -4 + 10 -14x = -4 + 10 Combine like terms: -4 + 10 = 6 -14x = 6 Divide each side by '-14'. x = -0.4285714286 Simplifying x = -0.4285714286
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