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Simplifying -6.8x + 1.1 = -40.5 + -1.6x Reorder the terms: 1.1 + -6.8x = -40.5 + -1.6x Solving 1.1 + -6.8x = -40.5 + -1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6x' to each side of the equation. 1.1 + -6.8x + 1.6x = -40.5 + -1.6x + 1.6x Combine like terms: -6.8x + 1.6x = -5.2x 1.1 + -5.2x = -40.5 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 1.1 + -5.2x = -40.5 + 0.0 1.1 + -5.2x = -40.5 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -5.2x = -40.5 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -5.2x = -40.5 + -1.1 -5.2x = -40.5 + -1.1 Combine like terms: -40.5 + -1.1 = -41.6 -5.2x = -41.6 Divide each side by '-5.2'. x = 8 Simplifying x = 8
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