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Simplifying -0.9x + 5.48 = -0.4x + 9.98 Reorder the terms: 5.48 + -0.9x = -0.4x + 9.98 Reorder the terms: 5.48 + -0.9x = 9.98 + -0.4x Solving 5.48 + -0.9x = 9.98 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 5.48 + -0.9x + 0.4x = 9.98 + -0.4x + 0.4x Combine like terms: -0.9x + 0.4x = -0.5x 5.48 + -0.5x = 9.98 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 5.48 + -0.5x = 9.98 + 0.0 5.48 + -0.5x = 9.98 Add '-5.48' to each side of the equation. 5.48 + -5.48 + -0.5x = 9.98 + -5.48 Combine like terms: 5.48 + -5.48 = 0.00 0.00 + -0.5x = 9.98 + -5.48 -0.5x = 9.98 + -5.48 Combine like terms: 9.98 + -5.48 = 4.5 -0.5x = 4.5 Divide each side by '-0.5'. x = -9 Simplifying x = -9
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