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Simplifying -10(75) + 0.75x = 0.05(x + -10) Multiply -10 * 75 -750 + 0.75x = 0.05(x + -10) Reorder the terms: -750 + 0.75x = 0.05(-10 + x) -750 + 0.75x = (-10 * 0.05 + x * 0.05) -750 + 0.75x = (-0.5 + 0.05x) Solving -750 + 0.75x = -0.5 + 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. -750 + 0.75x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.75x + -0.05x = 0.7x -750 + 0.7x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -750 + 0.7x = -0.5 + 0.00 -750 + 0.7x = -0.5 Add '750' to each side of the equation. -750 + 750 + 0.7x = -0.5 + 750 Combine like terms: -750 + 750 = 0 0 + 0.7x = -0.5 + 750 0.7x = -0.5 + 750 Combine like terms: -0.5 + 750 = 749.5 0.7x = 749.5 Divide each side by '0.7'. x = 1070.714286 Simplifying x = 1070.714286
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