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Simplifying 0.15x + 0.65(10 + -1x) = 2 0.15x + (10 * 0.65 + -1x * 0.65) = 2 0.15x + (6.5 + -0.65x) = 2 Reorder the terms: 6.5 + 0.15x + -0.65x = 2 Combine like terms: 0.15x + -0.65x = -0.5x 6.5 + -0.5x = 2 Solving 6.5 + -0.5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.5x = 2 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.5x = 2 + -6.5 -0.5x = 2 + -6.5 Combine like terms: 2 + -6.5 = -4.5 -0.5x = -4.5 Divide each side by '-0.5'. x = 9 Simplifying x = 9
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