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Simplifying 3(2x + 4) = x + 47 Reorder the terms: 3(4 + 2x) = x + 47 (4 * 3 + 2x * 3) = x + 47 (12 + 6x) = x + 47 Reorder the terms: 12 + 6x = 47 + x Solving 12 + 6x = 47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 6x + -1x = 47 + x + -1x Combine like terms: 6x + -1x = 5x 12 + 5x = 47 + x + -1x Combine like terms: x + -1x = 0 12 + 5x = 47 + 0 12 + 5x = 47 Add '-12' to each side of the equation. 12 + -12 + 5x = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 47 + -12 5x = 47 + -12 Combine like terms: 47 + -12 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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