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Simplifying -102 + 7x = 114 + -11x Solving -102 + 7x = 114 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -102 + 7x + 11x = 114 + -11x + 11x Combine like terms: 7x + 11x = 18x -102 + 18x = 114 + -11x + 11x Combine like terms: -11x + 11x = 0 -102 + 18x = 114 + 0 -102 + 18x = 114 Add '102' to each side of the equation. -102 + 102 + 18x = 114 + 102 Combine like terms: -102 + 102 = 0 0 + 18x = 114 + 102 18x = 114 + 102 Combine like terms: 114 + 102 = 216 18x = 216 Divide each side by '18'. x = 12 Simplifying x = 12
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