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Simplifying 6x + -12 + -3 = x + 27 + -9x Reorder the terms: -12 + -3 + 6x = x + 27 + -9x Combine like terms: -12 + -3 = -15 -15 + 6x = x + 27 + -9x Reorder the terms: -15 + 6x = 27 + x + -9x Combine like terms: x + -9x = -8x -15 + 6x = 27 + -8x Solving -15 + 6x = 27 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 6x + 8x = 27 + -8x + 8x Combine like terms: 6x + 8x = 14x -15 + 14x = 27 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 14x = 27 + 0 -15 + 14x = 27 Add '15' to each side of the equation. -15 + 15 + 14x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 27 + 15 14x = 27 + 15 Combine like terms: 27 + 15 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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