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Simplifying 8.5 + -2x + 5x + 1.1 + 7x + -0.3 = 6x + -0.6 + 5x + 0.2 + 9 + -0.5x Reorder the terms: 8.5 + 1.1 + -0.3 + -2x + 5x + 7x = 6x + -0.6 + 5x + 0.2 + 9 + -0.5x Combine like terms: 8.5 + 1.1 = 9.6 9.6 + -0.3 + -2x + 5x + 7x = 6x + -0.6 + 5x + 0.2 + 9 + -0.5x Combine like terms: 9.6 + -0.3 = 9.3 9.3 + -2x + 5x + 7x = 6x + -0.6 + 5x + 0.2 + 9 + -0.5x Combine like terms: -2x + 5x = 3x 9.3 + 3x + 7x = 6x + -0.6 + 5x + 0.2 + 9 + -0.5x Combine like terms: 3x + 7x = 10x 9.3 + 10x = 6x + -0.6 + 5x + 0.2 + 9 + -0.5x Reorder the terms: 9.3 + 10x = -0.6 + 0.2 + 9 + 6x + 5x + -0.5x Combine like terms: -0.6 + 0.2 = -0.4 9.3 + 10x = -0.4 + 9 + 6x + 5x + -0.5x Combine like terms: -0.4 + 9 = 8.6 9.3 + 10x = 8.6 + 6x + 5x + -0.5x Combine like terms: 6x + 5x = 11x 9.3 + 10x = 8.6 + 11x + -0.5x Combine like terms: 11x + -0.5x = 10.5x 9.3 + 10x = 8.6 + 10.5x Solving 9.3 + 10x = 8.6 + 10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5x' to each side of the equation. 9.3 + 10x + -10.5x = 8.6 + 10.5x + -10.5x Combine like terms: 10x + -10.5x = -0.5x 9.3 + -0.5x = 8.6 + 10.5x + -10.5x Combine like terms: 10.5x + -10.5x = 0.0 9.3 + -0.5x = 8.6 + 0.0 9.3 + -0.5x = 8.6 Add '-9.3' to each side of the equation. 9.3 + -9.3 + -0.5x = 8.6 + -9.3 Combine like terms: 9.3 + -9.3 = 0.0 0.0 + -0.5x = 8.6 + -9.3 -0.5x = 8.6 + -9.3 Combine like terms: 8.6 + -9.3 = -0.7 -0.5x = -0.7 Divide each side by '-0.5'. x = 1.4 Simplifying x = 1.4
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