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Simplifying 2(x + 5) = -8(x + 4) Reorder the terms: 2(5 + x) = -8(x + 4) (5 * 2 + x * 2) = -8(x + 4) (10 + 2x) = -8(x + 4) Reorder the terms: 10 + 2x = -8(4 + x) 10 + 2x = (4 * -8 + x * -8) 10 + 2x = (-32 + -8x) Solving 10 + 2x = -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. 10 + 2x + 8x = -32 + -8x + 8x Combine like terms: 2x + 8x = 10x 10 + 10x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 10x = -32 + 0 10 + 10x = -32 Add '-10' to each side of the equation. 10 + -10 + 10x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = -32 + -10 10x = -32 + -10 Combine like terms: -32 + -10 = -42 10x = -42 Divide each side by '10'. x = -4.2 Simplifying x = -4.2
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