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Simplifying 4x + 0.2 + 5x + 0.5 = 6x + 6x + -0.2 + 8x + 0.3 Reorder the terms: 0.2 + 0.5 + 4x + 5x = 6x + 6x + -0.2 + 8x + 0.3 Combine like terms: 0.2 + 0.5 = 0.7 0.7 + 4x + 5x = 6x + 6x + -0.2 + 8x + 0.3 Combine like terms: 4x + 5x = 9x 0.7 + 9x = 6x + 6x + -0.2 + 8x + 0.3 Reorder the terms: 0.7 + 9x = -0.2 + 0.3 + 6x + 6x + 8x Combine like terms: -0.2 + 0.3 = 0.1 0.7 + 9x = 0.1 + 6x + 6x + 8x Combine like terms: 6x + 6x = 12x 0.7 + 9x = 0.1 + 12x + 8x Combine like terms: 12x + 8x = 20x 0.7 + 9x = 0.1 + 20x Solving 0.7 + 9x = 0.1 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 0.7 + 9x + -20x = 0.1 + 20x + -20x Combine like terms: 9x + -20x = -11x 0.7 + -11x = 0.1 + 20x + -20x Combine like terms: 20x + -20x = 0 0.7 + -11x = 0.1 + 0 0.7 + -11x = 0.1 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -11x = 0.1 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -11x = 0.1 + -0.7 -11x = 0.1 + -0.7 Combine like terms: 0.1 + -0.7 = -0.6 -11x = -0.6 Divide each side by '-11'. x = 0.05454545455 Simplifying x = 0.05454545455
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