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Simplifying 5.8(x + -2) = -0.2x + 18.4 Reorder the terms: 5.8(-2 + x) = -0.2x + 18.4 (-2 * 5.8 + x * 5.8) = -0.2x + 18.4 (-11.6 + 5.8x) = -0.2x + 18.4 Reorder the terms: -11.6 + 5.8x = 18.4 + -0.2x Solving -11.6 + 5.8x = 18.4 + -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 = 18.4 + -0.2x + 0.2x Combine like terms: 5.8x + 0.2x = 6x -11.6 + 6x = 18.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -11.6 + 6x = 18.4 + 0.0 -11.6 + 6x = 18.4 Add '11.6' to each side of the equation. -11.6 + 11.6 + 6x = 18.4 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + 6x = 18.4 + 11.6 6x = 18.4 + 11.6 Combine like terms: 18.4 + 11.6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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