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Simplifying -0.09x + 5.12 = -0.4x + 7.12 Reorder the terms: 5.12 + -0.09x = -0.4x + 7.12 Reorder the terms: 5.12 + -0.09x = 7.12 + -0.4x Solving 5.12 + -0.09x = 7.12 + -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. 5.12 + -0.09x + 0.4x = 7.12 + -0.4x + 0.4x Combine like terms: -0.09x + 0.4x = 0.31x 5.12 + 0.31x = 7.12 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 5.12 + 0.31x = 7.12 + 0.0 5.12 + 0.31x = 7.12 Add '-5.12' to each side of the equation. 5.12 + -5.12 + 0.31x = 7.12 + -5.12 Combine like terms: 5.12 + -5.12 = 0.00 0.00 + 0.31x = 7.12 + -5.12 0.31x = 7.12 + -5.12 Combine like terms: 7.12 + -5.12 = 2 0.31x = 2 Divide each side by '0.31'. x = 6.451612903 Simplifying x = 6.451612903
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