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Simplifying 0.3(x + 50) + 0.9x = 51 Reorder the terms: 0.3(50 + x) + 0.9x = 51 (50 * 0.3 + x * 0.3) + 0.9x = 51 (15 + 0.3x) + 0.9x = 51 Combine like terms: 0.3x + 0.9x = 1.2x 15 + 1.2x = 51 Solving 15 + 1.2x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1.2x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 1.2x = 51 + -15 1.2x = 51 + -15 Combine like terms: 51 + -15 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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