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Simplifying 4.5x + 3.4 = 2x + 8.4 Reorder the terms: 3.4 + 4.5x = 2x + 8.4 Reorder the terms: 3.4 + 4.5x = 8.4 + 2x Solving 3.4 + 4.5x = 8.4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3.4 + 4.5x + -2x = 8.4 + 2x + -2x Combine like terms: 4.5x + -2x = 2.5x 3.4 + 2.5x = 8.4 + 2x + -2x Combine like terms: 2x + -2x = 0 3.4 + 2.5x = 8.4 + 0 3.4 + 2.5x = 8.4 Add '-3.4' to each side of the equation. 3.4 + -3.4 + 2.5x = 8.4 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + 2.5x = 8.4 + -3.4 2.5x = 8.4 + -3.4 Combine like terms: 8.4 + -3.4 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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