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Simplifying 0.20(x) + 0.25(18) = 0.21(x + 18) Multiply 0.25 * 18 0.20x + 4.5 = 0.21(x + 18) Reorder the terms: 4.5 + 0.20x = 0.21(x + 18) Reorder the terms: 4.5 + 0.20x = 0.21(18 + x) 4.5 + 0.20x = (18 * 0.21 + x * 0.21) 4.5 + 0.20x = (3.78 + 0.21x) Solving 4.5 + 0.20x = 3.78 + 0.21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.21x' to each side of the equation. 4.5 + 0.20x + -0.21x = 3.78 + 0.21x + -0.21x Combine like terms: 0.20x + -0.21x = -0.01x 4.5 + -0.01x = 3.78 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 4.5 + -0.01x = 3.78 + 0.00 4.5 + -0.01x = 3.78 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.01x = 3.78 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.01x = 3.78 + -4.5 -0.01x = 3.78 + -4.5 Combine like terms: 3.78 + -4.5 = -0.72 -0.01x = -0.72 Divide each side by '-0.01'. x = 72 Simplifying x = 72
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