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Simplifying 5.8(x + -1) = -0.2x + 36.2 Reorder the terms: 5.8(-1 + x) = -0.2x + 36.2 (-1 * 5.8 + x * 5.8) = -0.2x + 36.2 (-5.8 + 5.8x) = -0.2x + 36.2 Reorder the terms: -5.8 + 5.8x = 36.2 + -0.2x Solving -5.8 + 5.8x = 36.2 + -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. -5.8 + 5.8x + 0.2x = 36.2 + -0.2x + 0.2x Combine like terms: 5.8x + 0.2x = 6x -5.8 + 6x = 36.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -5.8 + 6x = 36.2 + 0.0 -5.8 + 6x = 36.2 Add '5.8' to each side of the equation. -5.8 + 5.8 + 6x = 36.2 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 6x = 36.2 + 5.8 6x = 36.2 + 5.8 Combine like terms: 36.2 + 5.8 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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