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Simplifying 9(3x + 8) = 8(4x + -7) Reorder the terms: 9(8 + 3x) = 8(4x + -7) (8 * 9 + 3x * 9) = 8(4x + -7) (72 + 27x) = 8(4x + -7) Reorder the terms: 72 + 27x = 8(-7 + 4x) 72 + 27x = (-7 * 8 + 4x * 8) 72 + 27x = (-56 + 32x) Solving 72 + 27x = -56 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 72 + 27x + -32x = -56 + 32x + -32x Combine like terms: 27x + -32x = -5x 72 + -5x = -56 + 32x + -32x Combine like terms: 32x + -32x = 0 72 + -5x = -56 + 0 72 + -5x = -56 Add '-72' to each side of the equation. 72 + -72 + -5x = -56 + -72 Combine like terms: 72 + -72 = 0 0 + -5x = -56 + -72 -5x = -56 + -72 Combine like terms: -56 + -72 = -128 -5x = -128 Divide each side by '-5'. x = 25.6 Simplifying x = 25.6
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