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Simplifying 3.4x + 6 = 1.4x + -8 Reorder the terms: 6 + 3.4x = 1.4x + -8 Reorder the terms: 6 + 3.4x = -8 + 1.4x Solving 6 + 3.4x = -8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 6 + 3.4x + -1.4x = -8 + 1.4x + -1.4x Combine like terms: 3.4x + -1.4x = 2x 6 + 2x = -8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 6 + 2x = -8 + 0.0 6 + 2x = -8 Add '-6' to each side of the equation. 6 + -6 + 2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -8 + -6 2x = -8 + -6 Combine like terms: -8 + -6 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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