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Simplifying 6x + -9 = -3(x + 5) + -12 Reorder the terms: -9 + 6x = -3(x + 5) + -12 Reorder the terms: -9 + 6x = -3(5 + x) + -12 -9 + 6x = (5 * -3 + x * -3) + -12 -9 + 6x = (-15 + -3x) + -12 Reorder the terms: -9 + 6x = -15 + -12 + -3x Combine like terms: -15 + -12 = -27 -9 + 6x = -27 + -3x Solving -9 + 6x = -27 + -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. -9 + 6x + 3x = -27 + -3x + 3x Combine like terms: 6x + 3x = 9x -9 + 9x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 9x = -27 + 0 -9 + 9x = -27 Add '9' to each side of the equation. -9 + 9 + 9x = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = -27 + 9 9x = -27 + 9 Combine like terms: -27 + 9 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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