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Simplifying 8(x + 3) = -4(2x + -8) Reorder the terms: 8(3 + x) = -4(2x + -8) (3 * 8 + x * 8) = -4(2x + -8) (24 + 8x) = -4(2x + -8) Reorder the terms: 24 + 8x = -4(-8 + 2x) 24 + 8x = (-8 * -4 + 2x * -4) 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 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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