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Simplifying 7x + 5(5x + 18) = -102 Reorder the terms: 7x + 5(18 + 5x) = -102 7x + (18 * 5 + 5x * 5) = -102 7x + (90 + 25x) = -102 Reorder the terms: 90 + 7x + 25x = -102 Combine like terms: 7x + 25x = 32x 90 + 32x = -102 Solving 90 + 32x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 32x = -102 + -90 Combine like terms: 90 + -90 = 0 0 + 32x = -102 + -90 32x = -102 + -90 Combine like terms: -102 + -90 = -192 32x = -192 Divide each side by '32'. x = -6 Simplifying x = -6
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