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Simplifying 3(x + 8) + 5x = 12 + 4x Reorder the terms: 3(8 + x) + 5x = 12 + 4x (8 * 3 + x * 3) + 5x = 12 + 4x (24 + 3x) + 5x = 12 + 4x Combine like terms: 3x + 5x = 8x 24 + 8x = 12 + 4x Solving 24 + 8x = 12 + 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 = 12 + 4x + -4x Combine like terms: 8x + -4x = 4x 24 + 4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 4x = 12 + 0 24 + 4x = 12 Add '-24' to each side of the equation. 24 + -24 + 4x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 12 + -24 4x = 12 + -24 Combine like terms: 12 + -24 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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