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Simplifying 0.17x + 0.6(x + -1) = 0.01(5x + -4) Reorder the terms: 0.17x + 0.6(-1 + x) = 0.01(5x + -4) 0.17x + (-1 * 0.6 + x * 0.6) = 0.01(5x + -4) 0.17x + (-0.6 + 0.6x) = 0.01(5x + -4) Reorder the terms: -0.6 + 0.17x + 0.6x = 0.01(5x + -4) Combine like terms: 0.17x + 0.6x = 0.77x -0.6 + 0.77x = 0.01(5x + -4) Reorder the terms: -0.6 + 0.77x = 0.01(-4 + 5x) -0.6 + 0.77x = (-4 * 0.01 + 5x * 0.01) -0.6 + 0.77x = (-0.04 + 0.05x) Solving -0.6 + 0.77x = -0.04 + 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. -0.6 + 0.77x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.77x + -0.05x = 0.72x -0.6 + 0.72x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.6 + 0.72x = -0.04 + 0.00 -0.6 + 0.72x = -0.04 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.72x = -0.04 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.72x = -0.04 + 0.6 0.72x = -0.04 + 0.6 Combine like terms: -0.04 + 0.6 = 0.56 0.72x = 0.56 Divide each side by '0.72'. x = 0.7777777778 Simplifying x = 0.7777777778
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