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Simplifying 3(3x + 8) = 5(x + -7) Reorder the terms: 3(8 + 3x) = 5(x + -7) (8 * 3 + 3x * 3) = 5(x + -7) (24 + 9x) = 5(x + -7) Reorder the terms: 24 + 9x = 5(-7 + x) 24 + 9x = (-7 * 5 + x * 5) 24 + 9x = (-35 + 5x) Solving 24 + 9x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 9x + -5x = -35 + 5x + -5x Combine like terms: 9x + -5x = 4x 24 + 4x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 4x = -35 + 0 24 + 4x = -35 Add '-24' to each side of the equation. 24 + -24 + 4x = -35 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -35 + -24 4x = -35 + -24 Combine like terms: -35 + -24 = -59 4x = -59 Divide each side by '4'. x = -14.75 Simplifying x = -14.75
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