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Simplifying 0.3(x + 5) + 0.6(x + 25) = 21 Reorder the terms: 0.3(5 + x) + 0.6(x + 25) = 21 (5 * 0.3 + x * 0.3) + 0.6(x + 25) = 21 (1.5 + 0.3x) + 0.6(x + 25) = 21 Reorder the terms: 1.5 + 0.3x + 0.6(25 + x) = 21 1.5 + 0.3x + (25 * 0.6 + x * 0.6) = 21 1.5 + 0.3x + (15 + 0.6x) = 21 Reorder the terms: 1.5 + 15 + 0.3x + 0.6x = 21 Combine like terms: 1.5 + 15 = 16.5 16.5 + 0.3x + 0.6x = 21 Combine like terms: 0.3x + 0.6x = 0.9x 16.5 + 0.9x = 21 Solving 16.5 + 0.9x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.5' to each side of the equation. 16.5 + -16.5 + 0.9x = 21 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + 0.9x = 21 + -16.5 0.9x = 21 + -16.5 Combine like terms: 21 + -16.5 = 4.5 0.9x = 4.5 Divide each side by '0.9'. x = 5 Simplifying x = 5
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