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Simplifying 6.7x = 8.1(2x + -3) + -23.2 Reorder the terms: 6.7x = 8.1(-3 + 2x) + -23.2 6.7x = (-3 * 8.1 + 2x * 8.1) + -23.2 6.7x = (-24.3 + 16.2x) + -23.2 Reorder the terms: 6.7x = -24.3 + -23.2 + 16.2x Combine like terms: -24.3 + -23.2 = -47.5 6.7x = -47.5 + 16.2x Solving 6.7x = -47.5 + 16.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.2x' to each side of the equation. 6.7x + -16.2x = -47.5 + 16.2x + -16.2x Combine like terms: 6.7x + -16.2x = -9.5x -9.5x = -47.5 + 16.2x + -16.2x Combine like terms: 16.2x + -16.2x = 0.0 -9.5x = -47.5 + 0.0 -9.5x = -47.5 Divide each side by '-9.5'. x = 5 Simplifying x = 5
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