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Simplifying 0.90x + 0.10(60) = 0.80(x + 60) Multiply 0.10 * 60 0.90x + 6 = 0.80(x + 60) Reorder the terms: 6 + 0.90x = 0.80(x + 60) Reorder the terms: 6 + 0.90x = 0.80(60 + x) 6 + 0.90x = (60 * 0.80 + x * 0.80) 6 + 0.90x = (48 + 0.80x) Solving 6 + 0.90x = 48 + 0.80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.80x' to each side of the equation. 6 + 0.90x + -0.80x = 48 + 0.80x + -0.80x Combine like terms: 0.90x + -0.80x = 0.1x 6 + 0.1x = 48 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 6 + 0.1x = 48 + 0.00 6 + 0.1x = 48 Add '-6' to each side of the equation. 6 + -6 + 0.1x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = 48 + -6 0.1x = 48 + -6 Combine like terms: 48 + -6 = 42 0.1x = 42 Divide each side by '0.1'. x = 420 Simplifying x = 420
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