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Simplifying 0.17x + 0.5(x + -1) = 0.01(2x + -1) Reorder the terms: 0.17x + 0.5(-1 + x) = 0.01(2x + -1) 0.17x + (-1 * 0.5 + x * 0.5) = 0.01(2x + -1) 0.17x + (-0.5 + 0.5x) = 0.01(2x + -1) Reorder the terms: -0.5 + 0.17x + 0.5x = 0.01(2x + -1) Combine like terms: 0.17x + 0.5x = 0.67x -0.5 + 0.67x = 0.01(2x + -1) Reorder the terms: -0.5 + 0.67x = 0.01(-1 + 2x) -0.5 + 0.67x = (-1 * 0.01 + 2x * 0.01) -0.5 + 0.67x = (-0.01 + 0.02x) Solving -0.5 + 0.67x = -0.01 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.5 + 0.67x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.67x + -0.02x = 0.65x -0.5 + 0.65x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.5 + 0.65x = -0.01 + 0.00 -0.5 + 0.65x = -0.01 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.65x = -0.01 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.65x = -0.01 + 0.5 0.65x = -0.01 + 0.5 Combine like terms: -0.01 + 0.5 = 0.49 0.65x = 0.49 Divide each side by '0.65'. x = 0.7538461538 Simplifying x = 0.7538461538
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