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Simplifying 3(x + 4) + 2x = 52 + 5 Reorder the terms: 3(4 + x) + 2x = 52 + 5 (4 * 3 + x * 3) + 2x = 52 + 5 (12 + 3x) + 2x = 52 + 5 Combine like terms: 3x + 2x = 5x 12 + 5x = 52 + 5 Combine like terms: 52 + 5 = 57 12 + 5x = 57 Solving 12 + 5x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5x = 57 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 57 + -12 5x = 57 + -12 Combine like terms: 57 + -12 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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