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Simplifying -0.2x + 13 = 0.2x + -6 Reorder the terms: 13 + -0.2x = 0.2x + -6 Reorder the terms: 13 + -0.2x = -6 + 0.2x Solving 13 + -0.2x = -6 + 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. 13 + -0.2x + -0.2x = -6 + 0.2x + -0.2x Combine like terms: -0.2x + -0.2x = -0.4x 13 + -0.4x = -6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 13 + -0.4x = -6 + 0.0 13 + -0.4x = -6 Add '-13' to each side of the equation. 13 + -13 + -0.4x = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -0.4x = -6 + -13 -0.4x = -6 + -13 Combine like terms: -6 + -13 = -19 -0.4x = -19 Divide each side by '-0.4'. x = 47.5 Simplifying x = 47.5
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