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Simplifying 3(5x + 6) + -2(3 + -4x) = -11 Reorder the terms: 3(6 + 5x) + -2(3 + -4x) = -11 (6 * 3 + 5x * 3) + -2(3 + -4x) = -11 (18 + 15x) + -2(3 + -4x) = -11 18 + 15x + (3 * -2 + -4x * -2) = -11 18 + 15x + (-6 + 8x) = -11 Reorder the terms: 18 + -6 + 15x + 8x = -11 Combine like terms: 18 + -6 = 12 12 + 15x + 8x = -11 Combine like terms: 15x + 8x = 23x 12 + 23x = -11 Solving 12 + 23x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23x = -11 + -12 Combine like terms: 12 + -12 = 0 0 + 23x = -11 + -12 23x = -11 + -12 Combine like terms: -11 + -12 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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