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Simplifying 52 + -11x = 8(-11x + -15) + 18 Reorder the terms: 52 + -11x = 8(-15 + -11x) + 18 52 + -11x = (-15 * 8 + -11x * 8) + 18 52 + -11x = (-120 + -88x) + 18 Reorder the terms: 52 + -11x = -120 + 18 + -88x Combine like terms: -120 + 18 = -102 52 + -11x = -102 + -88x Solving 52 + -11x = -102 + -88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88x' to each side of the equation. 52 + -11x + 88x = -102 + -88x + 88x Combine like terms: -11x + 88x = 77x 52 + 77x = -102 + -88x + 88x Combine like terms: -88x + 88x = 0 52 + 77x = -102 + 0 52 + 77x = -102 Add '-52' to each side of the equation. 52 + -52 + 77x = -102 + -52 Combine like terms: 52 + -52 = 0 0 + 77x = -102 + -52 77x = -102 + -52 Combine like terms: -102 + -52 = -154 77x = -154 Divide each side by '77'. x = -2 Simplifying x = -2
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