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Simplifying -7.8x + 1.3 = 1.8x + 3.7 Reorder the terms: 1.3 + -7.8x = 1.8x + 3.7 Reorder the terms: 1.3 + -7.8x = 3.7 + 1.8x Solving 1.3 + -7.8x = 3.7 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 1.3 + -7.8x + -1.8x = 3.7 + 1.8x + -1.8x Combine like terms: -7.8x + -1.8x = -9.6x 1.3 + -9.6x = 3.7 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 1.3 + -9.6x = 3.7 + 0.0 1.3 + -9.6x = 3.7 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -9.6x = 3.7 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -9.6x = 3.7 + -1.3 -9.6x = 3.7 + -1.3 Combine like terms: 3.7 + -1.3 = 2.4 -9.6x = 2.4 Divide each side by '-9.6'. x = -0.25 Simplifying x = -0.25
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