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Simplifying x + -4x + -5 + 3x + 7 + -6x + -11 = 45 Reorder the terms: -5 + 7 + -11 + x + -4x + 3x + -6x = 45 Combine like terms: -5 + 7 = 2 2 + -11 + x + -4x + 3x + -6x = 45 Combine like terms: 2 + -11 = -9 -9 + x + -4x + 3x + -6x = 45 Combine like terms: x + -4x = -3x -9 + -3x + 3x + -6x = 45 Combine like terms: -3x + 3x = 0 -9 + 0 + -6x = 45 -9 + -6x = 45 Solving -9 + -6x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -6x = 45 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = 45 + 9 -6x = 45 + 9 Combine like terms: 45 + 9 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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