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Simplifying 3(2x + 3) = 3 + -2(x + -3) Reorder the terms: 3(3 + 2x) = 3 + -2(x + -3) (3 * 3 + 2x * 3) = 3 + -2(x + -3) (9 + 6x) = 3 + -2(x + -3) Reorder the terms: 9 + 6x = 3 + -2(-3 + x) 9 + 6x = 3 + (-3 * -2 + x * -2) 9 + 6x = 3 + (6 + -2x) Combine like terms: 3 + 6 = 9 9 + 6x = 9 + -2x Add '-9' to each side of the equation. 9 + -9 + 6x = 9 + -9 + -2x Combine like terms: 9 + -9 = 0 0 + 6x = 9 + -9 + -2x 6x = 9 + -9 + -2x Combine like terms: 9 + -9 = 0 6x = 0 + -2x 6x = -2x Solving 6x = -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. 6x + 2x = -2x + 2x Combine like terms: 6x + 2x = 8x 8x = -2x + 2x Combine like terms: -2x + 2x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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