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Simplifying 3(3x + 2) = 5(x + -2) Reorder the terms: 3(2 + 3x) = 5(x + -2) (2 * 3 + 3x * 3) = 5(x + -2) (6 + 9x) = 5(x + -2) Reorder the terms: 6 + 9x = 5(-2 + x) 6 + 9x = (-2 * 5 + x * 5) 6 + 9x = (-10 + 5x) Solving 6 + 9x = -10 + 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. 6 + 9x + -5x = -10 + 5x + -5x Combine like terms: 9x + -5x = 4x 6 + 4x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 4x = -10 + 0 6 + 4x = -10 Add '-6' to each side of the equation. 6 + -6 + 4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -10 + -6 4x = -10 + -6 Combine like terms: -10 + -6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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