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Simplifying -6(4 + 8x) + 4x = -6(1 + 7x) + -5x (4 * -6 + 8x * -6) + 4x = -6(1 + 7x) + -5x (-24 + -48x) + 4x = -6(1 + 7x) + -5x Combine like terms: -48x + 4x = -44x -24 + -44x = -6(1 + 7x) + -5x -24 + -44x = (1 * -6 + 7x * -6) + -5x -24 + -44x = (-6 + -42x) + -5x Combine like terms: -42x + -5x = -47x -24 + -44x = -6 + -47x Solving -24 + -44x = -6 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. -24 + -44x + 47x = -6 + -47x + 47x Combine like terms: -44x + 47x = 3x -24 + 3x = -6 + -47x + 47x Combine like terms: -47x + 47x = 0 -24 + 3x = -6 + 0 -24 + 3x = -6 Add '24' to each side of the equation. -24 + 24 + 3x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -6 + 24 3x = -6 + 24 Combine like terms: -6 + 24 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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