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Simplifying 0.2x + -9 = 2.7x + -24 Reorder the terms: -9 + 0.2x = 2.7x + -24 Reorder the terms: -9 + 0.2x = -24 + 2.7x Solving -9 + 0.2x = -24 + 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. -9 + 0.2x + -2.7x = -24 + 2.7x + -2.7x Combine like terms: 0.2x + -2.7x = -2.5x -9 + -2.5x = -24 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -9 + -2.5x = -24 + 0.0 -9 + -2.5x = -24 Add '9' to each side of the equation. -9 + 9 + -2.5x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -2.5x = -24 + 9 -2.5x = -24 + 9 Combine like terms: -24 + 9 = -15 -2.5x = -15 Divide each side by '-2.5'. x = 6 Simplifying x = 6
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