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Simplifying 2.7x + 71 = 4.2x + 35 Reorder the terms: 71 + 2.7x = 4.2x + 35 Reorder the terms: 71 + 2.7x = 35 + 4.2x Solving 71 + 2.7x = 35 + 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. 71 + 2.7x + -4.2x = 35 + 4.2x + -4.2x Combine like terms: 2.7x + -4.2x = -1.5x 71 + -1.5x = 35 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 71 + -1.5x = 35 + 0.0 71 + -1.5x = 35 Add '-71' to each side of the equation. 71 + -71 + -1.5x = 35 + -71 Combine like terms: 71 + -71 = 0 0 + -1.5x = 35 + -71 -1.5x = 35 + -71 Combine like terms: 35 + -71 = -36 -1.5x = -36 Divide each side by '-1.5'. x = 24 Simplifying x = 24
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