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Simplifying 9(7x + 11) = -12(-8x + -11) Reorder the terms: 9(11 + 7x) = -12(-8x + -11) (11 * 9 + 7x * 9) = -12(-8x + -11) (99 + 63x) = -12(-8x + -11) Reorder the terms: 99 + 63x = -12(-11 + -8x) 99 + 63x = (-11 * -12 + -8x * -12) 99 + 63x = (132 + 96x) Solving 99 + 63x = 132 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 99 + 63x + -96x = 132 + 96x + -96x Combine like terms: 63x + -96x = -33x 99 + -33x = 132 + 96x + -96x Combine like terms: 96x + -96x = 0 99 + -33x = 132 + 0 99 + -33x = 132 Add '-99' to each side of the equation. 99 + -99 + -33x = 132 + -99 Combine like terms: 99 + -99 = 0 0 + -33x = 132 + -99 -33x = 132 + -99 Combine like terms: 132 + -99 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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