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Simplifying 0.72x + -19.7 = 0.3(0.2x + 1.8) Reorder the terms: -19.7 + 0.72x = 0.3(0.2x + 1.8) Reorder the terms: -19.7 + 0.72x = 0.3(1.8 + 0.2x) -19.7 + 0.72x = (1.8 * 0.3 + 0.2x * 0.3) -19.7 + 0.72x = (0.54 + 0.06x) Solving -19.7 + 0.72x = 0.54 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. -19.7 + 0.72x + -0.06x = 0.54 + 0.06x + -0.06x Combine like terms: 0.72x + -0.06x = 0.66x -19.7 + 0.66x = 0.54 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -19.7 + 0.66x = 0.54 + 0.00 -19.7 + 0.66x = 0.54 Add '19.7' to each side of the equation. -19.7 + 19.7 + 0.66x = 0.54 + 19.7 Combine like terms: -19.7 + 19.7 = 0.0 0.0 + 0.66x = 0.54 + 19.7 0.66x = 0.54 + 19.7 Combine like terms: 0.54 + 19.7 = 20.24 0.66x = 20.24 Divide each side by '0.66'. x = 30.66666667 Simplifying x = 30.66666667
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