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Simplifying -9(2x + -7) = -2(3x + -11) Reorder the terms: -9(-7 + 2x) = -2(3x + -11) (-7 * -9 + 2x * -9) = -2(3x + -11) (63 + -18x) = -2(3x + -11) Reorder the terms: 63 + -18x = -2(-11 + 3x) 63 + -18x = (-11 * -2 + 3x * -2) 63 + -18x = (22 + -6x) Solving 63 + -18x = 22 + -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. 63 + -18x + 6x = 22 + -6x + 6x Combine like terms: -18x + 6x = -12x 63 + -12x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 63 + -12x = 22 + 0 63 + -12x = 22 Add '-63' to each side of the equation. 63 + -63 + -12x = 22 + -63 Combine like terms: 63 + -63 = 0 0 + -12x = 22 + -63 -12x = 22 + -63 Combine like terms: 22 + -63 = -41 -12x = -41 Divide each side by '-12'. x = 3.416666667 Simplifying x = 3.416666667
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