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Simplifying 0.17x + 6 + -0.8x = 0.27x + -0.3 Reorder the terms: 6 + 0.17x + -0.8x = 0.27x + -0.3 Combine like terms: 0.17x + -0.8x = -0.63x 6 + -0.63x = 0.27x + -0.3 Reorder the terms: 6 + -0.63x = -0.3 + 0.27x Solving 6 + -0.63x = -0.3 + 0.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27x' to each side of the equation. 6 + -0.63x + -0.27x = -0.3 + 0.27x + -0.27x Combine like terms: -0.63x + -0.27x = -0.9x 6 + -0.9x = -0.3 + 0.27x + -0.27x Combine like terms: 0.27x + -0.27x = 0.00 6 + -0.9x = -0.3 + 0.00 6 + -0.9x = -0.3 Add '-6' to each side of the equation. 6 + -6 + -0.9x = -0.3 + -6 Combine like terms: 6 + -6 = 0 0 + -0.9x = -0.3 + -6 -0.9x = -0.3 + -6 Combine like terms: -0.3 + -6 = -6.3 -0.9x = -6.3 Divide each side by '-0.9'. x = 7 Simplifying x = 7
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