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Simplifying 7.5(x + -3) = -0.2x + 40.6 Reorder the terms: 7.5(-3 + x) = -0.2x + 40.6 (-3 * 7.5 + x * 7.5) = -0.2x + 40.6 (-22.5 + 7.5x) = -0.2x + 40.6 Reorder the terms: -22.5 + 7.5x = 40.6 + -0.2x Solving -22.5 + 7.5x = 40.6 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -22.5 + 7.5x + 0.2x = 40.6 + -0.2x + 0.2x Combine like terms: 7.5x + 0.2x = 7.7x -22.5 + 7.7x = 40.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -22.5 + 7.7x = 40.6 + 0.0 -22.5 + 7.7x = 40.6 Add '22.5' to each side of the equation. -22.5 + 22.5 + 7.7x = 40.6 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + 7.7x = 40.6 + 22.5 7.7x = 40.6 + 22.5 Combine like terms: 40.6 + 22.5 = 63.1 7.7x = 63.1 Divide each side by '7.7'. x = 8.194805195 Simplifying x = 8.194805195
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