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Simplifying 6x + 11 = -52 + -3x Reorder the terms: 11 + 6x = -52 + -3x Solving 11 + 6x = -52 + -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. 11 + 6x + 3x = -52 + -3x + 3x Combine like terms: 6x + 3x = 9x 11 + 9x = -52 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 9x = -52 + 0 11 + 9x = -52 Add '-11' to each side of the equation. 11 + -11 + 9x = -52 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = -52 + -11 9x = -52 + -11 Combine like terms: -52 + -11 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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