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Simplifying -2(x + 5) = 2x + -8 + 4(2x + 1) Reorder the terms: -2(5 + x) = 2x + -8 + 4(2x + 1) (5 * -2 + x * -2) = 2x + -8 + 4(2x + 1) (-10 + -2x) = 2x + -8 + 4(2x + 1) Reorder the terms: -10 + -2x = 2x + -8 + 4(1 + 2x) -10 + -2x = 2x + -8 + (1 * 4 + 2x * 4) -10 + -2x = 2x + -8 + (4 + 8x) Reorder the terms: -10 + -2x = -8 + 4 + 2x + 8x Combine like terms: -8 + 4 = -4 -10 + -2x = -4 + 2x + 8x Combine like terms: 2x + 8x = 10x -10 + -2x = -4 + 10x Solving -10 + -2x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + -2x + -10x = -4 + 10x + -10x Combine like terms: -2x + -10x = -12x -10 + -12x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -12x = -4 + 0 -10 + -12x = -4 Add '10' to each side of the equation. -10 + 10 + -12x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = -4 + 10 -12x = -4 + 10 Combine like terms: -4 + 10 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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