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Simplifying -3(-4x + -8) + 2(6 + -6x) = -6x + 2x Reorder the terms: -3(-8 + -4x) + 2(6 + -6x) = -6x + 2x (-8 * -3 + -4x * -3) + 2(6 + -6x) = -6x + 2x (24 + 12x) + 2(6 + -6x) = -6x + 2x 24 + 12x + (6 * 2 + -6x * 2) = -6x + 2x 24 + 12x + (12 + -12x) = -6x + 2x Reorder the terms: 24 + 12 + 12x + -12x = -6x + 2x Combine like terms: 24 + 12 = 36 36 + 12x + -12x = -6x + 2x Combine like terms: 12x + -12x = 0 36 + 0 = -6x + 2x 36 = -6x + 2x Combine like terms: -6x + 2x = -4x 36 = -4x Solving 36 = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 36 + 4x = 0 Add '-36' to each side of the equation. 36 + -36 + 4x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 0 + -36 4x = 0 + -36 Combine like terms: 0 + -36 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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