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Simplifying 0.7(x + 20) + 0.3x = 45 Reorder the terms: 0.7(20 + x) + 0.3x = 45 (20 * 0.7 + x * 0.7) + 0.3x = 45 (14 + 0.7x) + 0.3x = 45 Combine like terms: 0.7x + 0.3x = 1x 14 + 1x = 45 Solving 14 + 1x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = 45 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 45 + -14 1x = 45 + -14 Combine like terms: 45 + -14 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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