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Simplifying 3(3x + 2) + 5 = 5(3x + -8) Reorder the terms: 3(2 + 3x) + 5 = 5(3x + -8) (2 * 3 + 3x * 3) + 5 = 5(3x + -8) (6 + 9x) + 5 = 5(3x + -8) Reorder the terms: 6 + 5 + 9x = 5(3x + -8) Combine like terms: 6 + 5 = 11 11 + 9x = 5(3x + -8) Reorder the terms: 11 + 9x = 5(-8 + 3x) 11 + 9x = (-8 * 5 + 3x * 5) 11 + 9x = (-40 + 15x) Solving 11 + 9x = -40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 11 + 9x + -15x = -40 + 15x + -15x Combine like terms: 9x + -15x = -6x 11 + -6x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 11 + -6x = -40 + 0 11 + -6x = -40 Add '-11' to each side of the equation. 11 + -11 + -6x = -40 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = -40 + -11 -6x = -40 + -11 Combine like terms: -40 + -11 = -51 -6x = -51 Divide each side by '-6'. x = 8.5 Simplifying x = 8.5
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