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Simplifying 2x + -9 + 5(2x + 1) = -2(x + 5) Reorder the terms: 2x + -9 + 5(1 + 2x) = -2(x + 5) 2x + -9 + (1 * 5 + 2x * 5) = -2(x + 5) 2x + -9 + (5 + 10x) = -2(x + 5) Reorder the terms: -9 + 5 + 2x + 10x = -2(x + 5) Combine like terms: -9 + 5 = -4 -4 + 2x + 10x = -2(x + 5) Combine like terms: 2x + 10x = 12x -4 + 12x = -2(x + 5) Reorder the terms: -4 + 12x = -2(5 + x) -4 + 12x = (5 * -2 + x * -2) -4 + 12x = (-10 + -2x) Solving -4 + 12x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 12x + 2x = -10 + -2x + 2x Combine like terms: 12x + 2x = 14x -4 + 14x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 14x = -10 + 0 -4 + 14x = -10 Add '4' to each side of the equation. -4 + 4 + 14x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -10 + 4 14x = -10 + 4 Combine like terms: -10 + 4 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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