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Simplifying 1.6x + -3.4x + 1.6 = -12.8 Reorder the terms: 1.6 + 1.6x + -3.4x = -12.8 Combine like terms: 1.6x + -3.4x = -1.8x 1.6 + -1.8x = -12.8 Solving 1.6 + -1.8x = -12.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + -1.8x = -12.8 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -1.8x = -12.8 + -1.6 -1.8x = -12.8 + -1.6 Combine like terms: -12.8 + -1.6 = -14.4 -1.8x = -14.4 Divide each side by '-1.8'. x = 8 Simplifying x = 8
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