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Simplifying 0.14x + 0.7(x + -1) = 0.01(5x + -3) Reorder the terms: 0.14x + 0.7(-1 + x) = 0.01(5x + -3) 0.14x + (-1 * 0.7 + x * 0.7) = 0.01(5x + -3) 0.14x + (-0.7 + 0.7x) = 0.01(5x + -3) Reorder the terms: -0.7 + 0.14x + 0.7x = 0.01(5x + -3) Combine like terms: 0.14x + 0.7x = 0.84x -0.7 + 0.84x = 0.01(5x + -3) Reorder the terms: -0.7 + 0.84x = 0.01(-3 + 5x) -0.7 + 0.84x = (-3 * 0.01 + 5x * 0.01) -0.7 + 0.84x = (-0.03 + 0.05x) Solving -0.7 + 0.84x = -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. -0.7 + 0.84x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.84x + -0.05x = 0.79x -0.7 + 0.79x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.7 + 0.79x = -0.03 + 0.00 -0.7 + 0.79x = -0.03 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.79x = -0.03 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.79x = -0.03 + 0.7 0.79x = -0.03 + 0.7 Combine like terms: -0.03 + 0.7 = 0.67 0.79x = 0.67 Divide each side by '0.79'. x = 0.8481012658 Simplifying x = 0.8481012658
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