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Simplifying 4.1x + 66 = 6.6x + 16 Reorder the terms: 66 + 4.1x = 6.6x + 16 Reorder the terms: 66 + 4.1x = 16 + 6.6x Solving 66 + 4.1x = 16 + 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. 66 + 4.1x + -6.6x = 16 + 6.6x + -6.6x Combine like terms: 4.1x + -6.6x = -2.5x 66 + -2.5x = 16 + 6.6x + -6.6x Combine like terms: 6.6x + -6.6x = 0.0 66 + -2.5x = 16 + 0.0 66 + -2.5x = 16 Add '-66' to each side of the equation. 66 + -66 + -2.5x = 16 + -66 Combine like terms: 66 + -66 = 0 0 + -2.5x = 16 + -66 -2.5x = 16 + -66 Combine like terms: 16 + -66 = -50 -2.5x = -50 Divide each side by '-2.5'. x = 20 Simplifying x = 20
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