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Simplifying 2(x + 3) + 8(x + 2) = 30 Reorder the terms: 2(3 + x) + 8(x + 2) = 30 (3 * 2 + x * 2) + 8(x + 2) = 30 (6 + 2x) + 8(x + 2) = 30 Reorder the terms: 6 + 2x + 8(2 + x) = 30 6 + 2x + (2 * 8 + x * 8) = 30 6 + 2x + (16 + 8x) = 30 Reorder the terms: 6 + 16 + 2x + 8x = 30 Combine like terms: 6 + 16 = 22 22 + 2x + 8x = 30 Combine like terms: 2x + 8x = 10x 22 + 10x = 30 Solving 22 + 10x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 10x = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 30 + -22 10x = 30 + -22 Combine like terms: 30 + -22 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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