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Simplifying 0.30x + 0.5(15) = 0.20(x + 15) Multiply 0.5 * 15 0.30x + 7.5 = 0.20(x + 15) Reorder the terms: 7.5 + 0.30x = 0.20(x + 15) Reorder the terms: 7.5 + 0.30x = 0.20(15 + x) 7.5 + 0.30x = (15 * 0.20 + x * 0.20) 7.5 + 0.30x = (3 + 0.20x) Solving 7.5 + 0.30x = 3 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 7.5 + 0.30x + -0.20x = 3 + 0.20x + -0.20x Combine like terms: 0.30x + -0.20x = 0.1x 7.5 + 0.1x = 3 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 7.5 + 0.1x = 3 + 0.00 7.5 + 0.1x = 3 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 0.1x = 3 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.1x = 3 + -7.5 0.1x = 3 + -7.5 Combine like terms: 3 + -7.5 = -4.5 0.1x = -4.5 Divide each side by '0.1'. x = -45 Simplifying x = -45
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