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Simplifying x + -5 + -6x = 3(9 + x) Reorder the terms: -5 + x + -6x = 3(9 + x) Combine like terms: x + -6x = -5x -5 + -5x = 3(9 + x) -5 + -5x = (9 * 3 + x * 3) -5 + -5x = (27 + 3x) Solving -5 + -5x = 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. -5 + -5x + -3x = 27 + 3x + -3x Combine like terms: -5x + -3x = -8x -5 + -8x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -8x = 27 + 0 -5 + -8x = 27 Add '5' to each side of the equation. -5 + 5 + -8x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 27 + 5 -8x = 27 + 5 Combine like terms: 27 + 5 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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