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Simplifying -0.9x + 5.38 = -0.7x + 9.78 Reorder the terms: 5.38 + -0.9x = -0.7x + 9.78 Reorder the terms: 5.38 + -0.9x = 9.78 + -0.7x Solving 5.38 + -0.9x = 9.78 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 5.38 + -0.9x + 0.7x = 9.78 + -0.7x + 0.7x Combine like terms: -0.9x + 0.7x = -0.2x 5.38 + -0.2x = 9.78 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 5.38 + -0.2x = 9.78 + 0.0 5.38 + -0.2x = 9.78 Add '-5.38' to each side of the equation. 5.38 + -5.38 + -0.2x = 9.78 + -5.38 Combine like terms: 5.38 + -5.38 = 0.00 0.00 + -0.2x = 9.78 + -5.38 -0.2x = 9.78 + -5.38 Combine like terms: 9.78 + -5.38 = 4.4 -0.2x = 4.4 Divide each side by '-0.2'. x = -22 Simplifying x = -22
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