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Simplifying 0.16x + 7(x + -2) = 0.01(5x + -5) Reorder the terms: 0.16x + 7(-2 + x) = 0.01(5x + -5) 0.16x + (-2 * 7 + x * 7) = 0.01(5x + -5) 0.16x + (-14 + 7x) = 0.01(5x + -5) Reorder the terms: -14 + 0.16x + 7x = 0.01(5x + -5) Combine like terms: 0.16x + 7x = 7.16x -14 + 7.16x = 0.01(5x + -5) Reorder the terms: -14 + 7.16x = 0.01(-5 + 5x) -14 + 7.16x = (-5 * 0.01 + 5x * 0.01) -14 + 7.16x = (-0.05 + 0.05x) Solving -14 + 7.16x = -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. -14 + 7.16x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 7.16x + -0.05x = 7.11x -14 + 7.11x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -14 + 7.11x = -0.05 + 0.00 -14 + 7.11x = -0.05 Add '14' to each side of the equation. -14 + 14 + 7.11x = -0.05 + 14 Combine like terms: -14 + 14 = 0 0 + 7.11x = -0.05 + 14 7.11x = -0.05 + 14 Combine like terms: -0.05 + 14 = 13.95 7.11x = 13.95 Divide each side by '7.11'. x = 1.962025316 Simplifying x = 1.962025316
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