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Simplifying 0.8x + 0.18 + -0.4x = 0.31x + 0.22 Reorder the terms: 0.18 + 0.8x + -0.4x = 0.31x + 0.22 Combine like terms: 0.8x + -0.4x = 0.4x 0.18 + 0.4x = 0.31x + 0.22 Reorder the terms: 0.18 + 0.4x = 0.22 + 0.31x Solving 0.18 + 0.4x = 0.22 + 0.31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.31x' to each side of the equation. 0.18 + 0.4x + -0.31x = 0.22 + 0.31x + -0.31x Combine like terms: 0.4x + -0.31x = 0.09x 0.18 + 0.09x = 0.22 + 0.31x + -0.31x Combine like terms: 0.31x + -0.31x = 0.00 0.18 + 0.09x = 0.22 + 0.00 0.18 + 0.09x = 0.22 Add '-0.18' to each side of the equation. 0.18 + -0.18 + 0.09x = 0.22 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + 0.09x = 0.22 + -0.18 0.09x = 0.22 + -0.18 Combine like terms: 0.22 + -0.18 = 0.04 0.09x = 0.04 Divide each side by '0.09'. x = 0.4444444444 Simplifying x = 0.4444444444
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