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Simplifying 0.3x + 8.6 = 0.65x + 6.5 Reorder the terms: 8.6 + 0.3x = 0.65x + 6.5 Reorder the terms: 8.6 + 0.3x = 6.5 + 0.65x Solving 8.6 + 0.3x = 6.5 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 8.6 + 0.3x + -0.65x = 6.5 + 0.65x + -0.65x Combine like terms: 0.3x + -0.65x = -0.35x 8.6 + -0.35x = 6.5 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 8.6 + -0.35x = 6.5 + 0.00 8.6 + -0.35x = 6.5 Add '-8.6' to each side of the equation. 8.6 + -8.6 + -0.35x = 6.5 + -8.6 Combine like terms: 8.6 + -8.6 = 0.0 0.0 + -0.35x = 6.5 + -8.6 -0.35x = 6.5 + -8.6 Combine like terms: 6.5 + -8.6 = -2.1 -0.35x = -2.1 Divide each side by '-0.35'. x = 6 Simplifying x = 6
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