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Simplifying 5(x + 2) + 3x + 2 = 30 Reorder the terms: 5(2 + x) + 3x + 2 = 30 (2 * 5 + x * 5) + 3x + 2 = 30 (10 + 5x) + 3x + 2 = 30 Reorder the terms: 10 + 2 + 5x + 3x = 30 Combine like terms: 10 + 2 = 12 12 + 5x + 3x = 30 Combine like terms: 5x + 3x = 8x 12 + 8x = 30 Solving 12 + 8x = 30 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 + 8x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 30 + -12 8x = 30 + -12 Combine like terms: 30 + -12 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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