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Simplifying 1.8x + -2 + 9 = -5.7x + -2 + -6 Reorder the terms: -2 + 9 + 1.8x = -5.7x + -2 + -6 Combine like terms: -2 + 9 = 7 7 + 1.8x = -5.7x + -2 + -6 Reorder the terms: 7 + 1.8x = -2 + -6 + -5.7x Combine like terms: -2 + -6 = -8 7 + 1.8x = -8 + -5.7x Solving 7 + 1.8x = -8 + -5.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.7x' to each side of the equation. 7 + 1.8x + 5.7x = -8 + -5.7x + 5.7x Combine like terms: 1.8x + 5.7x = 7.5x 7 + 7.5x = -8 + -5.7x + 5.7x Combine like terms: -5.7x + 5.7x = 0.0 7 + 7.5x = -8 + 0.0 7 + 7.5x = -8 Add '-7' to each side of the equation. 7 + -7 + 7.5x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 7.5x = -8 + -7 7.5x = -8 + -7 Combine like terms: -8 + -7 = -15 7.5x = -15 Divide each side by '7.5'. x = -2 Simplifying x = -2
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