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Simplifying -2x + 9(6x + -2) = 9(-11x + -2) Reorder the terms: -2x + 9(-2 + 6x) = 9(-11x + -2) -2x + (-2 * 9 + 6x * 9) = 9(-11x + -2) -2x + (-18 + 54x) = 9(-11x + -2) Reorder the terms: -18 + -2x + 54x = 9(-11x + -2) Combine like terms: -2x + 54x = 52x -18 + 52x = 9(-11x + -2) Reorder the terms: -18 + 52x = 9(-2 + -11x) -18 + 52x = (-2 * 9 + -11x * 9) -18 + 52x = (-18 + -99x) Add '18' to each side of the equation. -18 + 18 + 52x = -18 + 18 + -99x Combine like terms: -18 + 18 = 0 0 + 52x = -18 + 18 + -99x 52x = -18 + 18 + -99x Combine like terms: -18 + 18 = 0 52x = 0 + -99x 52x = -99x Solving 52x = -99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '99x' to each side of the equation. 52x + 99x = -99x + 99x Combine like terms: 52x + 99x = 151x 151x = -99x + 99x Combine like terms: -99x + 99x = 0 151x = 0 Divide each side by '151'. x = 0 Simplifying x = 0
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