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Simplifying 6(2x + -5) = 11(4x + 6) Reorder the terms: 6(-5 + 2x) = 11(4x + 6) (-5 * 6 + 2x * 6) = 11(4x + 6) (-30 + 12x) = 11(4x + 6) Reorder the terms: -30 + 12x = 11(6 + 4x) -30 + 12x = (6 * 11 + 4x * 11) -30 + 12x = (66 + 44x) Solving -30 + 12x = 66 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. -30 + 12x + -44x = 66 + 44x + -44x Combine like terms: 12x + -44x = -32x -30 + -32x = 66 + 44x + -44x Combine like terms: 44x + -44x = 0 -30 + -32x = 66 + 0 -30 + -32x = 66 Add '30' to each side of the equation. -30 + 30 + -32x = 66 + 30 Combine like terms: -30 + 30 = 0 0 + -32x = 66 + 30 -32x = 66 + 30 Combine like terms: 66 + 30 = 96 -32x = 96 Divide each side by '-32'. x = -3 Simplifying x = -3
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