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Simplifying 6x2 + -7y3 + 5 = -12x2 + 8y3 + 30 Reorder the terms: 5 + 6x2 + -7y3 = -12x2 + 8y3 + 30 Reorder the terms: 5 + 6x2 + -7y3 = 30 + -12x2 + 8y3 Solving 5 + 6x2 + -7y3 = 30 + -12x2 + 8y3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x2' to each side of the equation. 5 + 6x2 + 12x2 + -7y3 = 30 + -12x2 + 12x2 + 8y3 Combine like terms: 6x2 + 12x2 = 18x2 5 + 18x2 + -7y3 = 30 + -12x2 + 12x2 + 8y3 Combine like terms: -12x2 + 12x2 = 0 5 + 18x2 + -7y3 = 30 + 0 + 8y3 5 + 18x2 + -7y3 = 30 + 8y3 Add '-5' to each side of the equation. 5 + 18x2 + -5 + -7y3 = 30 + -5 + 8y3 Reorder the terms: 5 + -5 + 18x2 + -7y3 = 30 + -5 + 8y3 Combine like terms: 5 + -5 = 0 0 + 18x2 + -7y3 = 30 + -5 + 8y3 18x2 + -7y3 = 30 + -5 + 8y3 Combine like terms: 30 + -5 = 25 18x2 + -7y3 = 25 + 8y3 Add '7y3' to each side of the equation. 18x2 + -7y3 + 7y3 = 25 + 8y3 + 7y3 Combine like terms: -7y3 + 7y3 = 0 18x2 + 0 = 25 + 8y3 + 7y3 18x2 = 25 + 8y3 + 7y3 Combine like terms: 8y3 + 7y3 = 15y3 18x2 = 25 + 15y3 Divide each side by '18'. x2 = 1.388888889 + 0.8333333333y3 Simplifying x2 = 1.388888889 + 0.8333333333y3 Reorder the terms: -1.388888889 + x2 + -0.8333333333y3 = 1.388888889 + 0.8333333333y3 + -1.388888889 + -0.8333333333y3 Reorder the terms: -1.388888889 + x2 + -0.8333333333y3 = 1.388888889 + -1.388888889 + 0.8333333333y3 + -0.8333333333y3 Combine like terms: 1.388888889 + -1.388888889 = 0.000000000 -1.388888889 + x2 + -0.8333333333y3 = 0.000000000 + 0.8333333333y3 + -0.8333333333y3 -1.388888889 + x2 + -0.8333333333y3 = 0.8333333333y3 + -0.8333333333y3 Combine like terms: 0.8333333333y3 + -0.8333333333y3 = 0.0000000000 -1.388888889 + x2 + -0.8333333333y3 = 0.0000000000 The solution to this equation could not be determined.
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