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Simplifying 8x + 0.5(4x + 6) = 33 Reorder the terms: 8x + 0.5(6 + 4x) = 33 8x + (6 * 0.5 + 4x * 0.5) = 33 8x + (3 + 2x) = 33 Reorder the terms: 3 + 8x + 2x = 33 Combine like terms: 8x + 2x = 10x 3 + 10x = 33 Solving 3 + 10x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10x = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 33 + -3 10x = 33 + -3 Combine like terms: 33 + -3 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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