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Simplifying 0.14x + 0.2(x + -5) = 0.01(5x + -2) Reorder the terms: 0.14x + 0.2(-5 + x) = 0.01(5x + -2) 0.14x + (-5 * 0.2 + x * 0.2) = 0.01(5x + -2) 0.14x + (-1 + 0.2x) = 0.01(5x + -2) Reorder the terms: -1 + 0.14x + 0.2x = 0.01(5x + -2) Combine like terms: 0.14x + 0.2x = 0.34x -1 + 0.34x = 0.01(5x + -2) Reorder the terms: -1 + 0.34x = 0.01(-2 + 5x) -1 + 0.34x = (-2 * 0.01 + 5x * 0.01) -1 + 0.34x = (-0.02 + 0.05x) Solving -1 + 0.34x = -0.02 + 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. -1 + 0.34x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.34x + -0.05x = 0.29x -1 + 0.29x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1 + 0.29x = -0.02 + 0.00 -1 + 0.29x = -0.02 Add '1' to each side of the equation. -1 + 1 + 0.29x = -0.02 + 1 Combine like terms: -1 + 1 = 0 0 + 0.29x = -0.02 + 1 0.29x = -0.02 + 1 Combine like terms: -0.02 + 1 = 0.98 0.29x = 0.98 Divide each side by '0.29'. x = 3.379310345 Simplifying x = 3.379310345
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