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Simplifying 0.12x + 0.7(x + -1) = 0.01(5x + -5) Reorder the terms: 0.12x + 0.7(-1 + x) = 0.01(5x + -5) 0.12x + (-1 * 0.7 + x * 0.7) = 0.01(5x + -5) 0.12x + (-0.7 + 0.7x) = 0.01(5x + -5) Reorder the terms: -0.7 + 0.12x + 0.7x = 0.01(5x + -5) Combine like terms: 0.12x + 0.7x = 0.82x -0.7 + 0.82x = 0.01(5x + -5) Reorder the terms: -0.7 + 0.82x = 0.01(-5 + 5x) -0.7 + 0.82x = (-5 * 0.01 + 5x * 0.01) -0.7 + 0.82x = (-0.05 + 0.05x) Solving -0.7 + 0.82x = -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. -0.7 + 0.82x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 0.82x + -0.05x = 0.77x -0.7 + 0.77x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.7 + 0.77x = -0.05 + 0.00 -0.7 + 0.77x = -0.05 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.77x = -0.05 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.77x = -0.05 + 0.7 0.77x = -0.05 + 0.7 Combine like terms: -0.05 + 0.7 = 0.65 0.77x = 0.65 Divide each side by '0.77'. x = 0.8441558442 Simplifying x = 0.8441558442
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