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Simplifying 0.05x + -3(0.09 + -15x) + 0.125 = 2.5x + -0.75 0.05x + (0.09 * -3 + -15x * -3) + 0.125 = 2.5x + -0.75 0.05x + (-0.27 + 45x) + 0.125 = 2.5x + -0.75 Reorder the terms: -0.27 + 0.125 + 0.05x + 45x = 2.5x + -0.75 Combine like terms: -0.27 + 0.125 = -0.145 -0.145 + 0.05x + 45x = 2.5x + -0.75 Combine like terms: 0.05x + 45x = 45.05x -0.145 + 45.05x = 2.5x + -0.75 Reorder the terms: -0.145 + 45.05x = -0.75 + 2.5x Solving -0.145 + 45.05x = -0.75 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -0.145 + 45.05x + -2.5x = -0.75 + 2.5x + -2.5x Combine like terms: 45.05x + -2.5x = 42.55x -0.145 + 42.55x = -0.75 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -0.145 + 42.55x = -0.75 + 0.0 -0.145 + 42.55x = -0.75 Add '0.145' to each side of the equation. -0.145 + 0.145 + 42.55x = -0.75 + 0.145 Combine like terms: -0.145 + 0.145 = 0.000 0.000 + 42.55x = -0.75 + 0.145 42.55x = -0.75 + 0.145 Combine like terms: -0.75 + 0.145 = -0.605 42.55x = -0.605 Divide each side by '42.55'. x = -0.01421856639 Simplifying x = -0.01421856639
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