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