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Simplifying 0.45x + 0.50(15) = 0.46(x + 15) Multiply 0.50 * 15 0.45x + 7.5 = 0.46(x + 15) Reorder the terms: 7.5 + 0.45x = 0.46(x + 15) Reorder the terms: 7.5 + 0.45x = 0.46(15 + x) 7.5 + 0.45x = (15 * 0.46 + x * 0.46) 7.5 + 0.45x = (6.9 + 0.46x) Solving 7.5 + 0.45x = 6.9 + 0.46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.46x' to each side of the equation. 7.5 + 0.45x + -0.46x = 6.9 + 0.46x + -0.46x Combine like terms: 0.45x + -0.46x = -0.01x 7.5 + -0.01x = 6.9 + 0.46x + -0.46x Combine like terms: 0.46x + -0.46x = 0.00 7.5 + -0.01x = 6.9 + 0.00 7.5 + -0.01x = 6.9 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.01x = 6.9 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.01x = 6.9 + -7.5 -0.01x = 6.9 + -7.5 Combine like terms: 6.9 + -7.5 = -0.6 -0.01x = -0.6 Divide each side by '-0.01'. x = 60 Simplifying x = 60
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