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Simplifying 0.50x + (0.90)(30) = 0.80(x + 30) Multiply 0.90 * 30 0.50x + 27 = 0.80(x + 30) Reorder the terms: 27 + 0.50x = 0.80(x + 30) Reorder the terms: 27 + 0.50x = 0.80(30 + x) 27 + 0.50x = (30 * 0.80 + x * 0.80) 27 + 0.50x = (24 + 0.80x) Solving 27 + 0.50x = 24 + 0.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.80x' to each side of the equation. 27 + 0.50x + -0.80x = 24 + 0.80x + -0.80x Combine like terms: 0.50x + -0.80x = -0.3x 27 + -0.3x = 24 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 27 + -0.3x = 24 + 0.00 27 + -0.3x = 24 Add '-27' to each side of the equation. 27 + -27 + -0.3x = 24 + -27 Combine like terms: 27 + -27 = 0 0 + -0.3x = 24 + -27 -0.3x = 24 + -27 Combine like terms: 24 + -27 = -3 -0.3x = -3 Divide each side by '-0.3'. x = 10 Simplifying x = 10
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