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Simplifying 6x + 27 + -36 + -9x = 15 + 3x + -2x + -12 Reorder the terms: 27 + -36 + 6x + -9x = 15 + 3x + -2x + -12 Combine like terms: 27 + -36 = -9 -9 + 6x + -9x = 15 + 3x + -2x + -12 Combine like terms: 6x + -9x = -3x -9 + -3x = 15 + 3x + -2x + -12 Reorder the terms: -9 + -3x = 15 + -12 + 3x + -2x Combine like terms: 15 + -12 = 3 -9 + -3x = 3 + 3x + -2x Combine like terms: 3x + -2x = 1x -9 + -3x = 3 + 1x Solving -9 + -3x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + -3x + -1x = 3 + 1x + -1x Combine like terms: -3x + -1x = -4x -9 + -4x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + -4x = 3 + 0 -9 + -4x = 3 Add '9' to each side of the equation. -9 + 9 + -4x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 3 + 9 -4x = 3 + 9 Combine like terms: 3 + 9 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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