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Simplifying -0.17x + -0.05(2 + -5x) = 0.05(x + -2) + -0.15 -0.17x + (2 * -0.05 + -5x * -0.05) = 0.05(x + -2) + -0.15 -0.17x + (-0.1 + 0.25x) = 0.05(x + -2) + -0.15 Reorder the terms: -0.1 + -0.17x + 0.25x = 0.05(x + -2) + -0.15 Combine like terms: -0.17x + 0.25x = 0.08x -0.1 + 0.08x = 0.05(x + -2) + -0.15 Reorder the terms: -0.1 + 0.08x = 0.05(-2 + x) + -0.15 -0.1 + 0.08x = (-2 * 0.05 + x * 0.05) + -0.15 -0.1 + 0.08x = (-0.1 + 0.05x) + -0.15 Reorder the terms: -0.1 + 0.08x = -0.1 + -0.15 + 0.05x Combine like terms: -0.1 + -0.15 = -0.25 -0.1 + 0.08x = -0.25 + 0.05x Solving -0.1 + 0.08x = -0.25 + 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. -0.1 + 0.08x + -0.05x = -0.25 + 0.05x + -0.05x Combine like terms: 0.08x + -0.05x = 0.03x -0.1 + 0.03x = -0.25 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.1 + 0.03x = -0.25 + 0.00 -0.1 + 0.03x = -0.25 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.03x = -0.25 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.03x = -0.25 + 0.1 0.03x = -0.25 + 0.1 Combine like terms: -0.25 + 0.1 = -0.15 0.03x = -0.15 Divide each side by '0.03'. x = -5 Simplifying x = -5
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