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Simplifying 0.1(x + 10) + 1.3x = 50 Reorder the terms: 0.1(10 + x) + 1.3x = 50 (10 * 0.1 + x * 0.1) + 1.3x = 50 (1 + 0.1x) + 1.3x = 50 Combine like terms: 0.1x + 1.3x = 1.4x 1 + 1.4x = 50 Solving 1 + 1.4x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1.4x = 50 + -1 Combine like terms: 1 + -1 = 0 0 + 1.4x = 50 + -1 1.4x = 50 + -1 Combine like terms: 50 + -1 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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