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Simplifying 0.17x + 0.3(x + -3) = 0.01(5x + -1) Reorder the terms: 0.17x + 0.3(-3 + x) = 0.01(5x + -1) 0.17x + (-3 * 0.3 + x * 0.3) = 0.01(5x + -1) 0.17x + (-0.9 + 0.3x) = 0.01(5x + -1) Reorder the terms: -0.9 + 0.17x + 0.3x = 0.01(5x + -1) Combine like terms: 0.17x + 0.3x = 0.47x -0.9 + 0.47x = 0.01(5x + -1) Reorder the terms: -0.9 + 0.47x = 0.01(-1 + 5x) -0.9 + 0.47x = (-1 * 0.01 + 5x * 0.01) -0.9 + 0.47x = (-0.01 + 0.05x) Solving -0.9 + 0.47x = -0.01 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.9 + 0.47x + -0.05x = -0.01 + 0.05x + -0.05x Combine like terms: 0.47x + -0.05x = 0.42x -0.9 + 0.42x = -0.01 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.9 + 0.42x = -0.01 + 0.00 -0.9 + 0.42x = -0.01 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.42x = -0.01 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.42x = -0.01 + 0.9 0.42x = -0.01 + 0.9 Combine like terms: -0.01 + 0.9 = 0.89 0.42x = 0.89 Divide each side by '0.42'. x = 2.119047619 Simplifying x = 2.119047619
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