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Simplifying 7x + 0.5 = -4x + 11.4 Reorder the terms: 0.5 + 7x = -4x + 11.4 Reorder the terms: 0.5 + 7x = 11.4 + -4x Solving 0.5 + 7x = 11.4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 0.5 + 7x + 4x = 11.4 + -4x + 4x Combine like terms: 7x + 4x = 11x 0.5 + 11x = 11.4 + -4x + 4x Combine like terms: -4x + 4x = 0 0.5 + 11x = 11.4 + 0 0.5 + 11x = 11.4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 11x = 11.4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 11x = 11.4 + -0.5 11x = 11.4 + -0.5 Combine like terms: 11.4 + -0.5 = 10.9 11x = 10.9 Divide each side by '11'. x = 0.9909090909 Simplifying x = 0.9909090909
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