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Simplifying 9(2x + 8) = 8(3x + -7) Reorder the terms: 9(8 + 2x) = 8(3x + -7) (8 * 9 + 2x * 9) = 8(3x + -7) (72 + 18x) = 8(3x + -7) Reorder the terms: 72 + 18x = 8(-7 + 3x) 72 + 18x = (-7 * 8 + 3x * 8) 72 + 18x = (-56 + 24x) Solving 72 + 18x = -56 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 72 + 18x + -24x = -56 + 24x + -24x Combine like terms: 18x + -24x = -6x 72 + -6x = -56 + 24x + -24x Combine like terms: 24x + -24x = 0 72 + -6x = -56 + 0 72 + -6x = -56 Add '-72' to each side of the equation. 72 + -72 + -6x = -56 + -72 Combine like terms: 72 + -72 = 0 0 + -6x = -56 + -72 -6x = -56 + -72 Combine like terms: -56 + -72 = -128 -6x = -128 Divide each side by '-6'. x = 21.33333333 Simplifying x = 21.33333333
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