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Simplifying -6(5 + -4x) = 3(x + 4) (5 * -6 + -4x * -6) = 3(x + 4) (-30 + 24x) = 3(x + 4) Reorder the terms: -30 + 24x = 3(4 + x) -30 + 24x = (4 * 3 + x * 3) -30 + 24x = (12 + 3x) Solving -30 + 24x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 24x + -3x = 12 + 3x + -3x Combine like terms: 24x + -3x = 21x -30 + 21x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 21x = 12 + 0 -30 + 21x = 12 Add '30' to each side of the equation. -30 + 30 + 21x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 21x = 12 + 30 21x = 12 + 30 Combine like terms: 12 + 30 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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