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