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Simplifying 2 + 5(2x + 4) = 8(x + -4) Reorder the terms: 2 + 5(4 + 2x) = 8(x + -4) 2 + (4 * 5 + 2x * 5) = 8(x + -4) 2 + (20 + 10x) = 8(x + -4) Combine like terms: 2 + 20 = 22 22 + 10x = 8(x + -4) Reorder the terms: 22 + 10x = 8(-4 + x) 22 + 10x = (-4 * 8 + x * 8) 22 + 10x = (-32 + 8x) Solving 22 + 10x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 22 + 10x + -8x = -32 + 8x + -8x Combine like terms: 10x + -8x = 2x 22 + 2x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + 2x = -32 + 0 22 + 2x = -32 Add '-22' to each side of the equation. 22 + -22 + 2x = -32 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = -32 + -22 2x = -32 + -22 Combine like terms: -32 + -22 = -54 2x = -54 Divide each side by '2'. x = -27 Simplifying x = -27
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