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Simplifying -0.1x + 6.98 = -0.5x + 9.38 Reorder the terms: 6.98 + -0.1x = -0.5x + 9.38 Reorder the terms: 6.98 + -0.1x = 9.38 + -0.5x Solving 6.98 + -0.1x = 9.38 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 6.98 + -0.1x + 0.5x = 9.38 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 6.98 + 0.4x = 9.38 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 6.98 + 0.4x = 9.38 + 0.0 6.98 + 0.4x = 9.38 Add '-6.98' to each side of the equation. 6.98 + -6.98 + 0.4x = 9.38 + -6.98 Combine like terms: 6.98 + -6.98 = 0.00 0.00 + 0.4x = 9.38 + -6.98 0.4x = 9.38 + -6.98 Combine like terms: 9.38 + -6.98 = 2.4 0.4x = 2.4 Divide each side by '0.4'. x = 6 Simplifying x = 6
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