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Simplifying 3(x + -3) * 2 = 3(3x + -9) Reorder the terms: 3(-3 + x) * 2 = 3(3x + -9) Reorder the terms for easier multiplication: 3 * 2(-3 + x) = 3(3x + -9) Multiply 3 * 2 6(-3 + x) = 3(3x + -9) (-3 * 6 + x * 6) = 3(3x + -9) (-18 + 6x) = 3(3x + -9) Reorder the terms: -18 + 6x = 3(-9 + 3x) -18 + 6x = (-9 * 3 + 3x * 3) -18 + 6x = (-27 + 9x) Solving -18 + 6x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 6x + -9x = -27 + 9x + -9x Combine like terms: 6x + -9x = -3x -18 + -3x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -3x = -27 + 0 -18 + -3x = -27 Add '18' to each side of the equation. -18 + 18 + -3x = -27 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -27 + 18 -3x = -27 + 18 Combine like terms: -27 + 18 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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