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Simplifying 6(2x + -6) = -40 + 8x Reorder the terms: 6(-6 + 2x) = -40 + 8x (-6 * 6 + 2x * 6) = -40 + 8x (-36 + 12x) = -40 + 8x Solving -36 + 12x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + 12x + -8x = -40 + 8x + -8x Combine like terms: 12x + -8x = 4x -36 + 4x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + 4x = -40 + 0 -36 + 4x = -40 Add '36' to each side of the equation. -36 + 36 + 4x = -40 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -40 + 36 4x = -40 + 36 Combine like terms: -40 + 36 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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