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Simplifying 1.2x + 1.3x + 2.2x + -14 = 4.2x Reorder the terms: -14 + 1.2x + 1.3x + 2.2x = 4.2x Combine like terms: 1.2x + 1.3x = 2.5x -14 + 2.5x + 2.2x = 4.2x Combine like terms: 2.5x + 2.2x = 4.7x -14 + 4.7x = 4.2x Solving -14 + 4.7x = 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. -14 + 4.7x + -4.2x = 4.2x + -4.2x Combine like terms: 4.7x + -4.2x = 0.5x -14 + 0.5x = 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 -14 + 0.5x = 0.0 Add '14' to each side of the equation. -14 + 14 + 0.5x = 0.0 + 14 Combine like terms: -14 + 14 = 0 0 + 0.5x = 0.0 + 14 0.5x = 0.0 + 14 Combine like terms: 0.0 + 14 = 14 0.5x = 14 Divide each side by '0.5'. x = 28 Simplifying x = 28
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