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Simplifying 4x + 9 = -102 + -7x Reorder the terms: 9 + 4x = -102 + -7x Solving 9 + 4x = -102 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + 4x + 7x = -102 + -7x + 7x Combine like terms: 4x + 7x = 11x 9 + 11x = -102 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 11x = -102 + 0 9 + 11x = -102 Add '-9' to each side of the equation. 9 + -9 + 11x = -102 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = -102 + -9 11x = -102 + -9 Combine like terms: -102 + -9 = -111 11x = -111 Divide each side by '11'. x = -10.09090909 Simplifying x = -10.09090909
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