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Simplifying 3x + 2 = 6.7x + -5 Reorder the terms: 2 + 3x = 6.7x + -5 Reorder the terms: 2 + 3x = -5 + 6.7x Solving 2 + 3x = -5 + 6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7x' to each side of the equation. 2 + 3x + -6.7x = -5 + 6.7x + -6.7x Combine like terms: 3x + -6.7x = -3.7x 2 + -3.7x = -5 + 6.7x + -6.7x Combine like terms: 6.7x + -6.7x = 0.0 2 + -3.7x = -5 + 0.0 2 + -3.7x = -5 Add '-2' to each side of the equation. 2 + -2 + -3.7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -3.7x = -5 + -2 -3.7x = -5 + -2 Combine like terms: -5 + -2 = -7 -3.7x = -7 Divide each side by '-3.7'. x = 1.891891892 Simplifying x = 1.891891892
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