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Simplifying (10X + -51) + (10X + -51) = (6X + -11) Reorder the terms: (-51 + 10X) + (10X + -51) = (6X + -11) Remove parenthesis around (-51 + 10X) -51 + 10X + (10X + -51) = (6X + -11) Reorder the terms: -51 + 10X + (-51 + 10X) = (6X + -11) Remove parenthesis around (-51 + 10X) -51 + 10X + -51 + 10X = (6X + -11) Reorder the terms: -51 + -51 + 10X + 10X = (6X + -11) Combine like terms: -51 + -51 = -102 -102 + 10X + 10X = (6X + -11) Combine like terms: 10X + 10X = 20X -102 + 20X = (6X + -11) Reorder the terms: -102 + 20X = (-11 + 6X) Remove parenthesis around (-11 + 6X) -102 + 20X = -11 + 6X Solving -102 + 20X = -11 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -102 + 20X + -6X = -11 + 6X + -6X Combine like terms: 20X + -6X = 14X -102 + 14X = -11 + 6X + -6X Combine like terms: 6X + -6X = 0 -102 + 14X = -11 + 0 -102 + 14X = -11 Add '102' to each side of the equation. -102 + 102 + 14X = -11 + 102 Combine like terms: -102 + 102 = 0 0 + 14X = -11 + 102 14X = -11 + 102 Combine like terms: -11 + 102 = 91 14X = 91 Divide each side by '14'. X = 6.5 Simplifying X = 6.5
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