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Simplifying 0.456 = -0.3(7x + -32.2) Reorder the terms: 0.456 = -0.3(-32.2 + 7x) 0.456 = (-32.2 * -0.3 + 7x * -0.3) 0.456 = (9.66 + -2.1x) Solving 0.456 = 9.66 + -2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1x' to each side of the equation. 0.456 + 2.1x = 9.66 + -2.1x + 2.1x Combine like terms: -2.1x + 2.1x = 0.0 0.456 + 2.1x = 9.66 + 0.0 0.456 + 2.1x = 9.66 Add '-0.456' to each side of the equation. 0.456 + -0.456 + 2.1x = 9.66 + -0.456 Combine like terms: 0.456 + -0.456 = 0.000 0.000 + 2.1x = 9.66 + -0.456 2.1x = 9.66 + -0.456 Combine like terms: 9.66 + -0.456 = 9.204 2.1x = 9.204 Divide each side by '2.1'. x = 4.382857143 Simplifying x = 4.382857143
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