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Simplifying x(1 + 4) + x(1 + 2) = 2x + 12 Combine like terms: 1 + 4 = 5 x(5) + x(1 + 2) = 2x + 12 Reorder the terms for easier multiplication: 5x + x(1 + 2) = 2x + 12 Combine like terms: 1 + 2 = 3 5x + x(3) = 2x + 12 Reorder the terms for easier multiplication: 5x + 3x = 2x + 12 Combine like terms: 5x + 3x = 8x 8x = 2x + 12 Reorder the terms: 8x = 12 + 2x Solving 8x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8x + -2x = 12 + 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 6x = 12 + 0 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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