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Simplifying 3(3x + -12) = 2(3x + 6) Reorder the terms: 3(-12 + 3x) = 2(3x + 6) (-12 * 3 + 3x * 3) = 2(3x + 6) (-36 + 9x) = 2(3x + 6) Reorder the terms: -36 + 9x = 2(6 + 3x) -36 + 9x = (6 * 2 + 3x * 2) -36 + 9x = (12 + 6x) Solving -36 + 9x = 12 + 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. -36 + 9x + -6x = 12 + 6x + -6x Combine like terms: 9x + -6x = 3x -36 + 3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 3x = 12 + 0 -36 + 3x = 12 Add '36' to each side of the equation. -36 + 36 + 3x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = 12 + 36 3x = 12 + 36 Combine like terms: 12 + 36 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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