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Simplifying 6.7x + -2 = 3.7x + 19 Reorder the terms: -2 + 6.7x = 3.7x + 19 Reorder the terms: -2 + 6.7x = 19 + 3.7x Solving -2 + 6.7x = 19 + 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. -2 + 6.7x + -3.7x = 19 + 3.7x + -3.7x Combine like terms: 6.7x + -3.7x = 3x -2 + 3x = 19 + 3.7x + -3.7x Combine like terms: 3.7x + -3.7x = 0.0 -2 + 3x = 19 + 0.0 -2 + 3x = 19 Add '2' to each side of the equation. -2 + 2 + 3x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 19 + 2 3x = 19 + 2 Combine like terms: 19 + 2 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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