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Simplifying 7x + -8 + 2(2x + 1) = -5(x + 2) Reorder the terms: 7x + -8 + 2(1 + 2x) = -5(x + 2) 7x + -8 + (1 * 2 + 2x * 2) = -5(x + 2) 7x + -8 + (2 + 4x) = -5(x + 2) Reorder the terms: -8 + 2 + 7x + 4x = -5(x + 2) Combine like terms: -8 + 2 = -6 -6 + 7x + 4x = -5(x + 2) Combine like terms: 7x + 4x = 11x -6 + 11x = -5(x + 2) Reorder the terms: -6 + 11x = -5(2 + x) -6 + 11x = (2 * -5 + x * -5) -6 + 11x = (-10 + -5x) Solving -6 + 11x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 11x + 5x = -10 + -5x + 5x Combine like terms: 11x + 5x = 16x -6 + 16x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 16x = -10 + 0 -6 + 16x = -10 Add '6' to each side of the equation. -6 + 6 + 16x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -10 + 6 16x = -10 + 6 Combine like terms: -10 + 6 = -4 16x = -4 Divide each side by '16'. x = -0.25 Simplifying x = -0.25
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