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Simplifying 4.2x + 78 = 5.7x + 33 Reorder the terms: 78 + 4.2x = 5.7x + 33 Reorder the terms: 78 + 4.2x = 33 + 5.7x Solving 78 + 4.2x = 33 + 5.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.7x' to each side of the equation. 78 + 4.2x + -5.7x = 33 + 5.7x + -5.7x Combine like terms: 4.2x + -5.7x = -1.5x 78 + -1.5x = 33 + 5.7x + -5.7x Combine like terms: 5.7x + -5.7x = 0.0 78 + -1.5x = 33 + 0.0 78 + -1.5x = 33 Add '-78' to each side of the equation. 78 + -78 + -1.5x = 33 + -78 Combine like terms: 78 + -78 = 0 0 + -1.5x = 33 + -78 -1.5x = 33 + -78 Combine like terms: 33 + -78 = -45 -1.5x = -45 Divide each side by '-1.5'. x = 30 Simplifying x = 30
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