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Simplifying 9(x + 3) + 4 = -2(x + -7) + -11 Reorder the terms: 9(3 + x) + 4 = -2(x + -7) + -11 (3 * 9 + x * 9) + 4 = -2(x + -7) + -11 (27 + 9x) + 4 = -2(x + -7) + -11 Reorder the terms: 27 + 4 + 9x = -2(x + -7) + -11 Combine like terms: 27 + 4 = 31 31 + 9x = -2(x + -7) + -11 Reorder the terms: 31 + 9x = -2(-7 + x) + -11 31 + 9x = (-7 * -2 + x * -2) + -11 31 + 9x = (14 + -2x) + -11 Reorder the terms: 31 + 9x = 14 + -11 + -2x Combine like terms: 14 + -11 = 3 31 + 9x = 3 + -2x Solving 31 + 9x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 31 + 9x + 2x = 3 + -2x + 2x Combine like terms: 9x + 2x = 11x 31 + 11x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 31 + 11x = 3 + 0 31 + 11x = 3 Add '-31' to each side of the equation. 31 + -31 + 11x = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 11x = 3 + -31 11x = 3 + -31 Combine like terms: 3 + -31 = -28 11x = -28 Divide each side by '11'. x = -2.545454545 Simplifying x = -2.545454545
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