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Simplifying -4(x + 1) = 8(x + 7) Reorder the terms: -4(1 + x) = 8(x + 7) (1 * -4 + x * -4) = 8(x + 7) (-4 + -4x) = 8(x + 7) Reorder the terms: -4 + -4x = 8(7 + x) -4 + -4x = (7 * 8 + x * 8) -4 + -4x = (56 + 8x) Solving -4 + -4x = 56 + 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. -4 + -4x + -8x = 56 + 8x + -8x Combine like terms: -4x + -8x = -12x -4 + -12x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -12x = 56 + 0 -4 + -12x = 56 Add '4' to each side of the equation. -4 + 4 + -12x = 56 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 56 + 4 -12x = 56 + 4 Combine like terms: 56 + 4 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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