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Simplifying -6(8x + 6) + 6x = -36 + x Reorder the terms: -6(6 + 8x) + 6x = -36 + x (6 * -6 + 8x * -6) + 6x = -36 + x (-36 + -48x) + 6x = -36 + x Combine like terms: -48x + 6x = -42x -36 + -42x = -36 + x Add '36' to each side of the equation. -36 + 36 + -42x = -36 + 36 + x Combine like terms: -36 + 36 = 0 0 + -42x = -36 + 36 + x -42x = -36 + 36 + x Combine like terms: -36 + 36 = 0 -42x = 0 + x -42x = x Solving -42x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42x + -1x = x + -1x Combine like terms: -42x + -1x = -43x -43x = x + -1x Combine like terms: x + -1x = 0 -43x = 0 Divide each side by '-43'. x = 0 Simplifying x = 0
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