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Simplifying 0.1(x + 100) + 1.3x = 53 Reorder the terms: 0.1(100 + x) + 1.3x = 53 (100 * 0.1 + x * 0.1) + 1.3x = 53 (10 + 0.1x) + 1.3x = 53 Combine like terms: 0.1x + 1.3x = 1.4x 10 + 1.4x = 53 Solving 10 + 1.4x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1.4x = 53 + -10 Combine like terms: 10 + -10 = 0 0 + 1.4x = 53 + -10 1.4x = 53 + -10 Combine like terms: 53 + -10 = 43 1.4x = 43 Divide each side by '1.4'. x = 30.71428571 Simplifying x = 30.71428571
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