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Simplifying -8.4x + 1.6 = -33.4 + 1.4x Reorder the terms: 1.6 + -8.4x = -33.4 + 1.4x Solving 1.6 + -8.4x = -33.4 + 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. 1.6 + -8.4x + -1.4x = -33.4 + 1.4x + -1.4x Combine like terms: -8.4x + -1.4x = -9.8x 1.6 + -9.8x = -33.4 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 1.6 + -9.8x = -33.4 + 0.0 1.6 + -9.8x = -33.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -9.8x = -33.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -9.8x = -33.4 + -1.6 -9.8x = -33.4 + -1.6 Combine like terms: -33.4 + -1.6 = -35 -9.8x = -35 Divide each side by '-9.8'. x = 3.571428571 Simplifying x = 3.571428571
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