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Simplifying 0.14x + 0.05(x + -1) = 0.01(5x + -5) Reorder the terms: 0.14x + 0.05(-1 + x) = 0.01(5x + -5) 0.14x + (-1 * 0.05 + x * 0.05) = 0.01(5x + -5) 0.14x + (-0.05 + 0.05x) = 0.01(5x + -5) Reorder the terms: -0.05 + 0.14x + 0.05x = 0.01(5x + -5) Combine like terms: 0.14x + 0.05x = 0.19x -0.05 + 0.19x = 0.01(5x + -5) Reorder the terms: -0.05 + 0.19x = 0.01(-5 + 5x) -0.05 + 0.19x = (-5 * 0.01 + 5x * 0.01) -0.05 + 0.19x = (-0.05 + 0.05x) Add '0.05' to each side of the equation. -0.05 + 0.05 + 0.19x = -0.05 + 0.05 + 0.05x Combine like terms: -0.05 + 0.05 = 0.00 0.00 + 0.19x = -0.05 + 0.05 + 0.05x 0.19x = -0.05 + 0.05 + 0.05x Combine like terms: -0.05 + 0.05 = 0.00 0.19x = 0.00 + 0.05x 0.19x = 0.05x Solving 0.19x = 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. 0.19x + -0.05x = 0.05x + -0.05x Combine like terms: 0.19x + -0.05x = 0.14x 0.14x = 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.14x = 0.00 Divide each side by '0.14'. x = 0 Simplifying x = 0
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