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Simplifying 0.58x + 0.40(14) = 0.50(x + 14) Multiply 0.40 * 14 0.58x + 5.6 = 0.50(x + 14) Reorder the terms: 5.6 + 0.58x = 0.50(x + 14) Reorder the terms: 5.6 + 0.58x = 0.50(14 + x) 5.6 + 0.58x = (14 * 0.50 + x * 0.50) 5.6 + 0.58x = (7 + 0.50x) Solving 5.6 + 0.58x = 7 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 5.6 + 0.58x + -0.50x = 7 + 0.50x + -0.50x Combine like terms: 0.58x + -0.50x = 0.08x 5.6 + 0.08x = 7 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 5.6 + 0.08x = 7 + 0.00 5.6 + 0.08x = 7 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 0.08x = 7 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 0.08x = 7 + -5.6 0.08x = 7 + -5.6 Combine like terms: 7 + -5.6 = 1.4 0.08x = 1.4 Divide each side by '0.08'. x = 17.5 Simplifying x = 17.5
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