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Simplifying 0.45(x) + 0.50(5) = 0.46(x + 5) Multiply 0.50 * 5 0.45x + 2.5 = 0.46(x + 5) Reorder the terms: 2.5 + 0.45x = 0.46(x + 5) Reorder the terms: 2.5 + 0.45x = 0.46(5 + x) 2.5 + 0.45x = (5 * 0.46 + x * 0.46) 2.5 + 0.45x = (2.3 + 0.46x) Solving 2.5 + 0.45x = 2.3 + 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. 2.5 + 0.45x + -0.46x = 2.3 + 0.46x + -0.46x Combine like terms: 0.45x + -0.46x = -0.01x 2.5 + -0.01x = 2.3 + 0.46x + -0.46x Combine like terms: 0.46x + -0.46x = 0.00 2.5 + -0.01x = 2.3 + 0.00 2.5 + -0.01x = 2.3 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.01x = 2.3 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.01x = 2.3 + -2.5 -0.01x = 2.3 + -2.5 Combine like terms: 2.3 + -2.5 = -0.2 -0.01x = -0.2 Divide each side by '-0.01'. x = 20 Simplifying x = 20
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