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Simplifying 0.2x + 10 + -6 = 3.4x + 8 Reorder the terms: 10 + -6 + 0.2x = 3.4x + 8 Combine like terms: 10 + -6 = 4 4 + 0.2x = 3.4x + 8 Reorder the terms: 4 + 0.2x = 8 + 3.4x Solving 4 + 0.2x = 8 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. 4 + 0.2x + -3.4x = 8 + 3.4x + -3.4x Combine like terms: 0.2x + -3.4x = -3.2x 4 + -3.2x = 8 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 4 + -3.2x = 8 + 0.0 4 + -3.2x = 8 Add '-4' to each side of the equation. 4 + -4 + -3.2x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -3.2x = 8 + -4 -3.2x = 8 + -4 Combine like terms: 8 + -4 = 4 -3.2x = 4 Divide each side by '-3.2'. x = -1.25 Simplifying x = -1.25
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