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Simplifying -3.4 + 1.4x = 3x + 14 Reorder the terms: -3.4 + 1.4x = 14 + 3x Solving -3.4 + 1.4x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3.4 + 1.4x + -3x = 14 + 3x + -3x Combine like terms: 1.4x + -3x = -1.6x -3.4 + -1.6x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -3.4 + -1.6x = 14 + 0 -3.4 + -1.6x = 14 Add '3.4' to each side of the equation. -3.4 + 3.4 + -1.6x = 14 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -1.6x = 14 + 3.4 -1.6x = 14 + 3.4 Combine like terms: 14 + 3.4 = 17.4 -1.6x = 17.4 Divide each side by '-1.6'. x = -10.875 Simplifying x = -10.875
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