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Simplifying 0.4x + 11.4 = x + -6.48 Reorder the terms: 11.4 + 0.4x = x + -6.48 Reorder the terms: 11.4 + 0.4x = -6.48 + x Solving 11.4 + 0.4x = -6.48 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11.4 + 0.4x + -1x = -6.48 + x + -1x Combine like terms: 0.4x + -1x = -0.6x 11.4 + -0.6x = -6.48 + x + -1x Combine like terms: x + -1x = 0 11.4 + -0.6x = -6.48 + 0 11.4 + -0.6x = -6.48 Add '-11.4' to each side of the equation. 11.4 + -11.4 + -0.6x = -6.48 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + -0.6x = -6.48 + -11.4 -0.6x = -6.48 + -11.4 Combine like terms: -6.48 + -11.4 = -17.88 -0.6x = -17.88 Divide each side by '-0.6'. x = 29.8 Simplifying x = 29.8
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