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Simplifying 3(3x + 1) = 2(2x + -5) Reorder the terms: 3(1 + 3x) = 2(2x + -5) (1 * 3 + 3x * 3) = 2(2x + -5) (3 + 9x) = 2(2x + -5) Reorder the terms: 3 + 9x = 2(-5 + 2x) 3 + 9x = (-5 * 2 + 2x * 2) 3 + 9x = (-10 + 4x) Solving 3 + 9x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 9x + -4x = -10 + 4x + -4x Combine like terms: 9x + -4x = 5x 3 + 5x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 5x = -10 + 0 3 + 5x = -10 Add '-3' to each side of the equation. 3 + -3 + 5x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = -10 + -3 5x = -10 + -3 Combine like terms: -10 + -3 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6
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