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Simplifying 2(11x + 5) = -3(4 + -3x) + 5 Reorder the terms: 2(5 + 11x) = -3(4 + -3x) + 5 (5 * 2 + 11x * 2) = -3(4 + -3x) + 5 (10 + 22x) = -3(4 + -3x) + 5 10 + 22x = (4 * -3 + -3x * -3) + 5 10 + 22x = (-12 + 9x) + 5 Reorder the terms: 10 + 22x = -12 + 5 + 9x Combine like terms: -12 + 5 = -7 10 + 22x = -7 + 9x Solving 10 + 22x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 22x + -9x = -7 + 9x + -9x Combine like terms: 22x + -9x = 13x 10 + 13x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 13x = -7 + 0 10 + 13x = -7 Add '-10' to each side of the equation. 10 + -10 + 13x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = -7 + -10 13x = -7 + -10 Combine like terms: -7 + -10 = -17 13x = -17 Divide each side by '13'. x = -1.307692308 Simplifying x = -1.307692308
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