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Simplifying 0.11x + 0.2(x + -2) = 0.01(5x + -3) Reorder the terms: 0.11x + 0.2(-2 + x) = 0.01(5x + -3) 0.11x + (-2 * 0.2 + x * 0.2) = 0.01(5x + -3) 0.11x + (-0.4 + 0.2x) = 0.01(5x + -3) Reorder the terms: -0.4 + 0.11x + 0.2x = 0.01(5x + -3) Combine like terms: 0.11x + 0.2x = 0.31x -0.4 + 0.31x = 0.01(5x + -3) Reorder the terms: -0.4 + 0.31x = 0.01(-3 + 5x) -0.4 + 0.31x = (-3 * 0.01 + 5x * 0.01) -0.4 + 0.31x = (-0.03 + 0.05x) Solving -0.4 + 0.31x = -0.03 + 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. -0.4 + 0.31x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.31x + -0.05x = 0.26x -0.4 + 0.26x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.4 + 0.26x = -0.03 + 0.00 -0.4 + 0.26x = -0.03 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.26x = -0.03 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.26x = -0.03 + 0.4 0.26x = -0.03 + 0.4 Combine like terms: -0.03 + 0.4 = 0.37 0.26x = 0.37 Divide each side by '0.26'. x = 1.423076923 Simplifying x = 1.423076923
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