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Simplifying 4(x + 7) = -8(x + 4) Reorder the terms: 4(7 + x) = -8(x + 4) (7 * 4 + x * 4) = -8(x + 4) (28 + 4x) = -8(x + 4) Reorder the terms: 28 + 4x = -8(4 + x) 28 + 4x = (4 * -8 + x * -8) 28 + 4x = (-32 + -8x) Solving 28 + 4x = -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. 28 + 4x + 8x = -32 + -8x + 8x Combine like terms: 4x + 8x = 12x 28 + 12x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 28 + 12x = -32 + 0 28 + 12x = -32 Add '-28' to each side of the equation. 28 + -28 + 12x = -32 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = -32 + -28 12x = -32 + -28 Combine like terms: -32 + -28 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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