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Simplifying 0.2x + -7 = 0.4x + 13 Reorder the terms: -7 + 0.2x = 0.4x + 13 Reorder the terms: -7 + 0.2x = 13 + 0.4x Solving -7 + 0.2x = 13 + 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. -7 + 0.2x + -0.4x = 13 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x -7 + -0.2x = 13 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -7 + -0.2x = 13 + 0.0 -7 + -0.2x = 13 Add '7' to each side of the equation. -7 + 7 + -0.2x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -0.2x = 13 + 7 -0.2x = 13 + 7 Combine like terms: 13 + 7 = 20 -0.2x = 20 Divide each side by '-0.2'. x = -100 Simplifying x = -100
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