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Simplifying 0.11x + 4 = 8 + -0.4x Reorder the terms: 4 + 0.11x = 8 + -0.4x Solving 4 + 0.11x = 8 + -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. 4 + 0.11x + 0.4x = 8 + -0.4x + 0.4x Combine like terms: 0.11x + 0.4x = 0.51x 4 + 0.51x = 8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 4 + 0.51x = 8 + 0.0 4 + 0.51x = 8 Add '-4' to each side of the equation. 4 + -4 + 0.51x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 0.51x = 8 + -4 0.51x = 8 + -4 Combine like terms: 8 + -4 = 4 0.51x = 4 Divide each side by '0.51'. x = 7.843137255 Simplifying x = 7.843137255
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