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Simplifying 6.7x + 6 = 3.7x + 21 Reorder the terms: 6 + 6.7x = 3.7x + 21 Reorder the terms: 6 + 6.7x = 21 + 3.7x Solving 6 + 6.7x = 21 + 3.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.7x' to each side of the equation. 6 + 6.7x + -3.7x = 21 + 3.7x + -3.7x Combine like terms: 6.7x + -3.7x = 3x 6 + 3x = 21 + 3.7x + -3.7x Combine like terms: 3.7x + -3.7x = 0.0 6 + 3x = 21 + 0.0 6 + 3x = 21 Add '-6' to each side of the equation. 6 + -6 + 3x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 21 + -6 3x = 21 + -6 Combine like terms: 21 + -6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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