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Simplifying 3(x + -12) + 6(x + 12) + 27 = 27 Reorder the terms: 3(-12 + x) + 6(x + 12) + 27 = 27 (-12 * 3 + x * 3) + 6(x + 12) + 27 = 27 (-36 + 3x) + 6(x + 12) + 27 = 27 Reorder the terms: -36 + 3x + 6(12 + x) + 27 = 27 -36 + 3x + (12 * 6 + x * 6) + 27 = 27 -36 + 3x + (72 + 6x) + 27 = 27 Reorder the terms: -36 + 72 + 27 + 3x + 6x = 27 Combine like terms: -36 + 72 = 36 36 + 27 + 3x + 6x = 27 Combine like terms: 36 + 27 = 63 63 + 3x + 6x = 27 Combine like terms: 3x + 6x = 9x 63 + 9x = 27 Solving 63 + 9x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 9x = 27 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = 27 + -63 9x = 27 + -63 Combine like terms: 27 + -63 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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