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