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Simplifying 0.17x + 0.5(x + -2) = 0.01(3x + -1) Reorder the terms: 0.17x + 0.5(-2 + x) = 0.01(3x + -1) 0.17x + (-2 * 0.5 + x * 0.5) = 0.01(3x + -1) 0.17x + (-1 + 0.5x) = 0.01(3x + -1) Reorder the terms: -1 + 0.17x + 0.5x = 0.01(3x + -1) Combine like terms: 0.17x + 0.5x = 0.67x -1 + 0.67x = 0.01(3x + -1) Reorder the terms: -1 + 0.67x = 0.01(-1 + 3x) -1 + 0.67x = (-1 * 0.01 + 3x * 0.01) -1 + 0.67x = (-0.01 + 0.03x) Solving -1 + 0.67x = -0.01 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1 + 0.67x + -0.03x = -0.01 + 0.03x + -0.03x Combine like terms: 0.67x + -0.03x = 0.64x -1 + 0.64x = -0.01 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1 + 0.64x = -0.01 + 0.00 -1 + 0.64x = -0.01 Add '1' to each side of the equation. -1 + 1 + 0.64x = -0.01 + 1 Combine like terms: -1 + 1 = 0 0 + 0.64x = -0.01 + 1 0.64x = -0.01 + 1 Combine like terms: -0.01 + 1 = 0.99 0.64x = 0.99 Divide each side by '0.64'. x = 1.546875 Simplifying x = 1.546875
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