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Simplifying 6x + -2 = 100 + -11x Reorder the terms: -2 + 6x = 100 + -11x Solving -2 + 6x = 100 + -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. -2 + 6x + 11x = 100 + -11x + 11x Combine like terms: 6x + 11x = 17x -2 + 17x = 100 + -11x + 11x Combine like terms: -11x + 11x = 0 -2 + 17x = 100 + 0 -2 + 17x = 100 Add '2' to each side of the equation. -2 + 2 + 17x = 100 + 2 Combine like terms: -2 + 2 = 0 0 + 17x = 100 + 2 17x = 100 + 2 Combine like terms: 100 + 2 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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