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Simplifying -0.9x + 7.11 = 0.4x + 5.61 Reorder the terms: 7.11 + -0.9x = 0.4x + 5.61 Reorder the terms: 7.11 + -0.9x = 5.61 + 0.4x Solving 7.11 + -0.9x = 5.61 + 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. 7.11 + -0.9x + -0.4x = 5.61 + 0.4x + -0.4x Combine like terms: -0.9x + -0.4x = -1.3x 7.11 + -1.3x = 5.61 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 7.11 + -1.3x = 5.61 + 0.0 7.11 + -1.3x = 5.61 Add '-7.11' to each side of the equation. 7.11 + -7.11 + -1.3x = 5.61 + -7.11 Combine like terms: 7.11 + -7.11 = 0.00 0.00 + -1.3x = 5.61 + -7.11 -1.3x = 5.61 + -7.11 Combine like terms: 5.61 + -7.11 = -1.5 -1.3x = -1.5 Divide each side by '-1.3'. x = 1.153846154 Simplifying x = 1.153846154
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