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Simplifying 8(x + 3) = 4(x + 14) Reorder the terms: 8(3 + x) = 4(x + 14) (3 * 8 + x * 8) = 4(x + 14) (24 + 8x) = 4(x + 14) Reorder the terms: 24 + 8x = 4(14 + x) 24 + 8x = (14 * 4 + x * 4) 24 + 8x = (56 + 4x) Solving 24 + 8x = 56 + 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 = 56 + 4x + -4x Combine like terms: 8x + -4x = 4x 24 + 4x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 4x = 56 + 0 24 + 4x = 56 Add '-24' to each side of the equation. 24 + -24 + 4x = 56 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 56 + -24 4x = 56 + -24 Combine like terms: 56 + -24 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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