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Simplifying 0.12x + 0.7(x + -5) = 0.01(5x + -3) Reorder the terms: 0.12x + 0.7(-5 + x) = 0.01(5x + -3) 0.12x + (-5 * 0.7 + x * 0.7) = 0.01(5x + -3) 0.12x + (-3.5 + 0.7x) = 0.01(5x + -3) Reorder the terms: -3.5 + 0.12x + 0.7x = 0.01(5x + -3) Combine like terms: 0.12x + 0.7x = 0.82x -3.5 + 0.82x = 0.01(5x + -3) Reorder the terms: -3.5 + 0.82x = 0.01(-3 + 5x) -3.5 + 0.82x = (-3 * 0.01 + 5x * 0.01) -3.5 + 0.82x = (-0.03 + 0.05x) Solving -3.5 + 0.82x = -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. -3.5 + 0.82x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.82x + -0.05x = 0.77x -3.5 + 0.77x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3.5 + 0.77x = -0.03 + 0.00 -3.5 + 0.77x = -0.03 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.77x = -0.03 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.77x = -0.03 + 3.5 0.77x = -0.03 + 3.5 Combine like terms: -0.03 + 3.5 = 3.47 0.77x = 3.47 Divide each side by '0.77'. x = 4.506493506 Simplifying x = 4.506493506
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