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Simplifying 4x + -8 + 2(5x + 1) = -2(x + 5) Reorder the terms: 4x + -8 + 2(1 + 5x) = -2(x + 5) 4x + -8 + (1 * 2 + 5x * 2) = -2(x + 5) 4x + -8 + (2 + 10x) = -2(x + 5) Reorder the terms: -8 + 2 + 4x + 10x = -2(x + 5) Combine like terms: -8 + 2 = -6 -6 + 4x + 10x = -2(x + 5) Combine like terms: 4x + 10x = 14x -6 + 14x = -2(x + 5) Reorder the terms: -6 + 14x = -2(5 + x) -6 + 14x = (5 * -2 + x * -2) -6 + 14x = (-10 + -2x) Solving -6 + 14x = -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. -6 + 14x + 2x = -10 + -2x + 2x Combine like terms: 14x + 2x = 16x -6 + 16x = -10 + -2x + 2x Combine like terms: -2x + 2x = 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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