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Simplifying 0.90x + 0.30(80) = 0.80(x + 0.80) Multiply 0.30 * 80 0.90x + 24 = 0.80(x + 0.80) Reorder the terms: 24 + 0.90x = 0.80(x + 0.80) Reorder the terms: 24 + 0.90x = 0.80(0.80 + x) 24 + 0.90x = (0.80 * 0.80 + x * 0.80) 24 + 0.90x = (0.64 + 0.80x) Solving 24 + 0.90x = 0.64 + 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. 24 + 0.90x + -0.80x = 0.64 + 0.80x + -0.80x Combine like terms: 0.90x + -0.80x = 0.1x 24 + 0.1x = 0.64 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 24 + 0.1x = 0.64 + 0.00 24 + 0.1x = 0.64 Add '-24' to each side of the equation. 24 + -24 + 0.1x = 0.64 + -24 Combine like terms: 24 + -24 = 0 0 + 0.1x = 0.64 + -24 0.1x = 0.64 + -24 Combine like terms: 0.64 + -24 = -23.36 0.1x = -23.36 Divide each side by '0.1'. x = -233.6 Simplifying x = -233.6
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