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Simplifying 8(x + 3) = 4(x + 12) Reorder the terms: 8(3 + x) = 4(x + 12) (3 * 8 + x * 8) = 4(x + 12) (24 + 8x) = 4(x + 12) Reorder the terms: 24 + 8x = 4(12 + x) 24 + 8x = (12 * 4 + x * 4) 24 + 8x = (48 + 4x) Solving 24 + 8x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 8x + -4x = 48 + 4x + -4x Combine like terms: 8x + -4x = 4x 24 + 4x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 4x = 48 + 0 24 + 4x = 48 Add '-24' to each side of the equation. 24 + -24 + 4x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 48 + -24 4x = 48 + -24 Combine like terms: 48 + -24 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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