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Simplifying 0.1(x + 90) + 1.3x = 58 Reorder the terms: 0.1(90 + x) + 1.3x = 58 (90 * 0.1 + x * 0.1) + 1.3x = 58 (9 + 0.1x) + 1.3x = 58 Combine like terms: 0.1x + 1.3x = 1.4x 9 + 1.4x = 58 Solving 9 + 1.4x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1.4x = 58 + -9 Combine like terms: 9 + -9 = 0 0 + 1.4x = 58 + -9 1.4x = 58 + -9 Combine like terms: 58 + -9 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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