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Simplifying 3(4x + -5) = 11x + 6 + -2x Reorder the terms: 3(-5 + 4x) = 11x + 6 + -2x (-5 * 3 + 4x * 3) = 11x + 6 + -2x (-15 + 12x) = 11x + 6 + -2x Reorder the terms: -15 + 12x = 6 + 11x + -2x Combine like terms: 11x + -2x = 9x -15 + 12x = 6 + 9x Solving -15 + 12x = 6 + 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. -15 + 12x + -9x = 6 + 9x + -9x Combine like terms: 12x + -9x = 3x -15 + 3x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 3x = 6 + 0 -15 + 3x = 6 Add '15' to each side of the equation. -15 + 15 + 3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 6 + 15 3x = 6 + 15 Combine like terms: 6 + 15 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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