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Simplifying 5.1x + 42 = 6.6x + 12 Reorder the terms: 42 + 5.1x = 6.6x + 12 Reorder the terms: 42 + 5.1x = 12 + 6.6x Solving 42 + 5.1x = 12 + 6.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.6x' to each side of the equation. 42 + 5.1x + -6.6x = 12 + 6.6x + -6.6x Combine like terms: 5.1x + -6.6x = -1.5x 42 + -1.5x = 12 + 6.6x + -6.6x Combine like terms: 6.6x + -6.6x = 0.0 42 + -1.5x = 12 + 0.0 42 + -1.5x = 12 Add '-42' to each side of the equation. 42 + -42 + -1.5x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -1.5x = 12 + -42 -1.5x = 12 + -42 Combine like terms: 12 + -42 = -30 -1.5x = -30 Divide each side by '-1.5'. x = 20 Simplifying x = 20
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