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Simplifying 11x + -7(2x + -13) = 4(-2x + 9) Reorder the terms: 11x + -7(-13 + 2x) = 4(-2x + 9) 11x + (-13 * -7 + 2x * -7) = 4(-2x + 9) 11x + (91 + -14x) = 4(-2x + 9) Reorder the terms: 91 + 11x + -14x = 4(-2x + 9) Combine like terms: 11x + -14x = -3x 91 + -3x = 4(-2x + 9) Reorder the terms: 91 + -3x = 4(9 + -2x) 91 + -3x = (9 * 4 + -2x * 4) 91 + -3x = (36 + -8x) Solving 91 + -3x = 36 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 91 + -3x + 8x = 36 + -8x + 8x Combine like terms: -3x + 8x = 5x 91 + 5x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 91 + 5x = 36 + 0 91 + 5x = 36 Add '-91' to each side of the equation. 91 + -91 + 5x = 36 + -91 Combine like terms: 91 + -91 = 0 0 + 5x = 36 + -91 5x = 36 + -91 Combine like terms: 36 + -91 = -55 5x = -55 Divide each side by '5'. x = -11 Simplifying x = -11
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