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Simplifying 0.14x + 0.4(x + -1) = 0.01(5x + -5) Reorder the terms: 0.14x + 0.4(-1 + x) = 0.01(5x + -5) 0.14x + (-1 * 0.4 + x * 0.4) = 0.01(5x + -5) 0.14x + (-0.4 + 0.4x) = 0.01(5x + -5) Reorder the terms: -0.4 + 0.14x + 0.4x = 0.01(5x + -5) Combine like terms: 0.14x + 0.4x = 0.54x -0.4 + 0.54x = 0.01(5x + -5) Reorder the terms: -0.4 + 0.54x = 0.01(-5 + 5x) -0.4 + 0.54x = (-5 * 0.01 + 5x * 0.01) -0.4 + 0.54x = (-0.05 + 0.05x) Solving -0.4 + 0.54x = -0.05 + 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 + 0.54x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 0.54x + -0.05x = 0.49x -0.4 + 0.49x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.4 + 0.49x = -0.05 + 0.00 -0.4 + 0.49x = -0.05 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.49x = -0.05 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.49x = -0.05 + 0.4 0.49x = -0.05 + 0.4 Combine like terms: -0.05 + 0.4 = 0.35 0.49x = 0.35 Divide each side by '0.49'. x = 0.7142857143 Simplifying x = 0.7142857143
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