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Simplifying 0.20 * 12 + 1x = 0.80(12 + x) Multiply 0.20 * 12 2.4 + 1x = 0.80(12 + x) 2.4 + 1x = (12 * 0.80 + x * 0.80) 2.4 + 1x = (9.6 + 0.80x) Solving 2.4 + 1x = 9.6 + 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. 2.4 + 1x + -0.80x = 9.6 + 0.80x + -0.80x Combine like terms: 1x + -0.80x = 0.2x 2.4 + 0.2x = 9.6 + 0.80x + -0.80x Combine like terms: 0.80x + -0.80x = 0.00 2.4 + 0.2x = 9.6 + 0.00 2.4 + 0.2x = 9.6 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.2x = 9.6 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.2x = 9.6 + -2.4 0.2x = 9.6 + -2.4 Combine like terms: 9.6 + -2.4 = 7.2 0.2x = 7.2 Divide each side by '0.2'. x = 36 Simplifying x = 36
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