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Simplifying -4(x + 7) = 20 + 8x Reorder the terms: -4(7 + x) = 20 + 8x (7 * -4 + x * -4) = 20 + 8x (-28 + -4x) = 20 + 8x Solving -28 + -4x = 20 + 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 = 20 + 8x + -8x Combine like terms: -4x + -8x = -12x -28 + -12x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + -12x = 20 + 0 -28 + -12x = 20 Add '28' to each side of the equation. -28 + 28 + -12x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + -12x = 20 + 28 -12x = 20 + 28 Combine like terms: 20 + 28 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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