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Simplifying 6.7x + 1 = 5.2x + -2 Reorder the terms: 1 + 6.7x = 5.2x + -2 Reorder the terms: 1 + 6.7x = -2 + 5.2x Solving 1 + 6.7x = -2 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. 1 + 6.7x + -5.2x = -2 + 5.2x + -5.2x Combine like terms: 6.7x + -5.2x = 1.5x 1 + 1.5x = -2 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 1 + 1.5x = -2 + 0.0 1 + 1.5x = -2 Add '-1' to each side of the equation. 1 + -1 + 1.5x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = -2 + -1 1.5x = -2 + -1 Combine like terms: -2 + -1 = -3 1.5x = -3 Divide each side by '1.5'. x = -2 Simplifying x = -2
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