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Simplifying 0.2x + -6 = 2.7x + -21 Reorder the terms: -6 + 0.2x = 2.7x + -21 Reorder the terms: -6 + 0.2x = -21 + 2.7x Solving -6 + 0.2x = -21 + 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. -6 + 0.2x + -2.7x = -21 + 2.7x + -2.7x Combine like terms: 0.2x + -2.7x = -2.5x -6 + -2.5x = -21 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -6 + -2.5x = -21 + 0.0 -6 + -2.5x = -21 Add '6' to each side of the equation. -6 + 6 + -2.5x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -2.5x = -21 + 6 -2.5x = -21 + 6 Combine like terms: -21 + 6 = -15 -2.5x = -15 Divide each side by '-2.5'. x = 6 Simplifying x = 6
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