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Simplifying 0.2x + -2 = 2.7x + -22 Reorder the terms: -2 + 0.2x = 2.7x + -22 Reorder the terms: -2 + 0.2x = -22 + 2.7x Solving -2 + 0.2x = -22 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. -2 + 0.2x + -2.7x = -22 + 2.7x + -2.7x Combine like terms: 0.2x + -2.7x = -2.5x -2 + -2.5x = -22 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -2 + -2.5x = -22 + 0.0 -2 + -2.5x = -22 Add '2' to each side of the equation. -2 + 2 + -2.5x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -2.5x = -22 + 2 -2.5x = -22 + 2 Combine like terms: -22 + 2 = -20 -2.5x = -20 Divide each side by '-2.5'. x = 8 Simplifying x = 8
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