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Simplifying 12(x + -3) = -3(x + 27) Reorder the terms: 12(-3 + x) = -3(x + 27) (-3 * 12 + x * 12) = -3(x + 27) (-36 + 12x) = -3(x + 27) Reorder the terms: -36 + 12x = -3(27 + x) -36 + 12x = (27 * -3 + x * -3) -36 + 12x = (-81 + -3x) Solving -36 + 12x = -81 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -36 + 12x + 3x = -81 + -3x + 3x Combine like terms: 12x + 3x = 15x -36 + 15x = -81 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + 15x = -81 + 0 -36 + 15x = -81 Add '36' to each side of the equation. -36 + 36 + 15x = -81 + 36 Combine like terms: -36 + 36 = 0 0 + 15x = -81 + 36 15x = -81 + 36 Combine like terms: -81 + 36 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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