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Simplifying -8(x + 3) = 8(x + 4) Reorder the terms: -8(3 + x) = 8(x + 4) (3 * -8 + x * -8) = 8(x + 4) (-24 + -8x) = 8(x + 4) Reorder the terms: -24 + -8x = 8(4 + x) -24 + -8x = (4 * 8 + x * 8) -24 + -8x = (32 + 8x) Solving -24 + -8x = 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. -24 + -8x + -8x = 32 + 8x + -8x Combine like terms: -8x + -8x = -16x -24 + -16x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -16x = 32 + 0 -24 + -16x = 32 Add '24' to each side of the equation. -24 + 24 + -16x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -16x = 32 + 24 -16x = 32 + 24 Combine like terms: 32 + 24 = 56 -16x = 56 Divide each side by '-16'. x = -3.5 Simplifying x = -3.5
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