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Simplifying 6(4x + -6) = -6 + -6x Reorder the terms: 6(-6 + 4x) = -6 + -6x (-6 * 6 + 4x * 6) = -6 + -6x (-36 + 24x) = -6 + -6x Solving -36 + 24x = -6 + -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. -36 + 24x + 6x = -6 + -6x + 6x Combine like terms: 24x + 6x = 30x -36 + 30x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 30x = -6 + 0 -36 + 30x = -6 Add '36' to each side of the equation. -36 + 36 + 30x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 30x = -6 + 36 30x = -6 + 36 Combine like terms: -6 + 36 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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