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Simplifying 0.4x + 0.7 = 11.3 + -1.1x Reorder the terms: 0.7 + 0.4x = 11.3 + -1.1x Solving 0.7 + 0.4x = 11.3 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 0.7 + 0.4x + 1.1x = 11.3 + -1.1x + 1.1x Combine like terms: 0.4x + 1.1x = 1.5x 0.7 + 1.5x = 11.3 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 0.7 + 1.5x = 11.3 + 0.0 0.7 + 1.5x = 11.3 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 1.5x = 11.3 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 1.5x = 11.3 + -0.7 1.5x = 11.3 + -0.7 Combine like terms: 11.3 + -0.7 = 10.6 1.5x = 10.6 Divide each side by '1.5'. x = 7.066666667 Simplifying x = 7.066666667
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