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Simplifying -52 = 7x + -3 + 12x + -11 Reorder the terms: -52 = -3 + -11 + 7x + 12x Combine like terms: -3 + -11 = -14 -52 = -14 + 7x + 12x Combine like terms: 7x + 12x = 19x -52 = -14 + 19x Solving -52 = -14 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -52 + -19x = -14 + 19x + -19x Combine like terms: 19x + -19x = 0 -52 + -19x = -14 + 0 -52 + -19x = -14 Add '52' to each side of the equation. -52 + 52 + -19x = -14 + 52 Combine like terms: -52 + 52 = 0 0 + -19x = -14 + 52 -19x = -14 + 52 Combine like terms: -14 + 52 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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