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Simplifying (0.15)(10 + -1x) + 0.45x = (0.30)(10) (10 * 0.15 + -1x * 0.15) + 0.45x = (0.30)(10) (1.5 + -0.15x) + 0.45x = (0.30)(10) Combine like terms: -0.15x + 0.45x = 0.3x 1.5 + 0.3x = (0.30)(10) Multiply 0.30 * 10 1.5 + 0.3x = 3 Solving 1.5 + 0.3x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.3x = 3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.3x = 3 + -1.5 0.3x = 3 + -1.5 Combine like terms: 3 + -1.5 = 1.5 0.3x = 1.5 Divide each side by '0.3'. x = 5 Simplifying x = 5
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