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Simplifying 0.05x + -3 = 0.2(x + -9) Reorder the terms: -3 + 0.05x = 0.2(x + -9) Reorder the terms: -3 + 0.05x = 0.2(-9 + x) -3 + 0.05x = (-9 * 0.2 + x * 0.2) -3 + 0.05x = (-1.8 + 0.2x) Solving -3 + 0.05x = -1.8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -3 + 0.05x + -0.2x = -1.8 + 0.2x + -0.2x Combine like terms: 0.05x + -0.2x = -0.15x -3 + -0.15x = -1.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3 + -0.15x = -1.8 + 0.0 -3 + -0.15x = -1.8 Add '3' to each side of the equation. -3 + 3 + -0.15x = -1.8 + 3 Combine like terms: -3 + 3 = 0 0 + -0.15x = -1.8 + 3 -0.15x = -1.8 + 3 Combine like terms: -1.8 + 3 = 1.2 -0.15x = 1.2 Divide each side by '-0.15'. x = -8 Simplifying x = -8
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