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Simplifying 0.20(x) + 0.25(17) = 0.21(x + 17) Multiply 0.25 * 17 0.20x + 4.25 = 0.21(x + 17) Reorder the terms: 4.25 + 0.20x = 0.21(x + 17) Reorder the terms: 4.25 + 0.20x = 0.21(17 + x) 4.25 + 0.20x = (17 * 0.21 + x * 0.21) 4.25 + 0.20x = (3.57 + 0.21x) Solving 4.25 + 0.20x = 3.57 + 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. 4.25 + 0.20x + -0.21x = 3.57 + 0.21x + -0.21x Combine like terms: 0.20x + -0.21x = -0.01x 4.25 + -0.01x = 3.57 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 4.25 + -0.01x = 3.57 + 0.00 4.25 + -0.01x = 3.57 Add '-4.25' to each side of the equation. 4.25 + -4.25 + -0.01x = 3.57 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + -0.01x = 3.57 + -4.25 -0.01x = 3.57 + -4.25 Combine like terms: 3.57 + -4.25 = -0.68 -0.01x = -0.68 Divide each side by '-0.01'. x = 68 Simplifying x = 68
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