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Simplifying 3(2x + -3) = 6 + -3(2x + 1) Reorder the terms: 3(-3 + 2x) = 6 + -3(2x + 1) (-3 * 3 + 2x * 3) = 6 + -3(2x + 1) (-9 + 6x) = 6 + -3(2x + 1) Reorder the terms: -9 + 6x = 6 + -3(1 + 2x) -9 + 6x = 6 + (1 * -3 + 2x * -3) -9 + 6x = 6 + (-3 + -6x) Combine like terms: 6 + -3 = 3 -9 + 6x = 3 + -6x Solving -9 + 6x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + 6x + 6x = 3 + -6x + 6x Combine like terms: 6x + 6x = 12x -9 + 12x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 12x = 3 + 0 -9 + 12x = 3 Add '9' to each side of the equation. -9 + 9 + 12x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 3 + 9 12x = 3 + 9 Combine like terms: 3 + 9 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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