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Simplifying -6 + 4x = -6(x + 6) Reorder the terms: -6 + 4x = -6(6 + x) -6 + 4x = (6 * -6 + x * -6) -6 + 4x = (-36 + -6x) Solving -6 + 4x = -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 + 4x + 6x = -36 + -6x + 6x Combine like terms: 4x + 6x = 10x -6 + 10x = -36 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 10x = -36 + 0 -6 + 10x = -36 Add '6' to each side of the equation. -6 + 6 + 10x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -36 + 6 10x = -36 + 6 Combine like terms: -36 + 6 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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