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Simplifying 5.8(x + -2) = 0.2x + 30.4 Reorder the terms: 5.8(-2 + x) = 0.2x + 30.4 (-2 * 5.8 + x * 5.8) = 0.2x + 30.4 (-11.6 + 5.8x) = 0.2x + 30.4 Reorder the terms: -11.6 + 5.8x = 30.4 + 0.2x Solving -11.6 + 5.8x = 30.4 + 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. -11.6 + 5.8x + -0.2x = 30.4 + 0.2x + -0.2x Combine like terms: 5.8x + -0.2x = 5.6x -11.6 + 5.6x = 30.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -11.6 + 5.6x = 30.4 + 0.0 -11.6 + 5.6x = 30.4 Add '11.6' to each side of the equation. -11.6 + 11.6 + 5.6x = 30.4 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + 5.6x = 30.4 + 11.6 5.6x = 30.4 + 11.6 Combine like terms: 30.4 + 11.6 = 42 5.6x = 42 Divide each side by '5.6'. x = 7.5 Simplifying x = 7.5
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