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Simplifying 0.2x + 9 = (0.4x + -1) Reorder the terms: 9 + 0.2x = (0.4x + -1) Reorder the terms: 9 + 0.2x = (-1 + 0.4x) Remove parenthesis around (-1 + 0.4x) 9 + 0.2x = -1 + 0.4x Solving 9 + 0.2x = -1 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 9 + 0.2x + -0.4x = -1 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x 9 + -0.2x = -1 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 9 + -0.2x = -1 + 0.0 9 + -0.2x = -1 Add '-9' to each side of the equation. 9 + -9 + -0.2x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -0.2x = -1 + -9 -0.2x = -1 + -9 Combine like terms: -1 + -9 = -10 -0.2x = -10 Divide each side by '-0.2'. x = 50 Simplifying x = 50
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