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Simplifying -3(-4x + -8) + (6 + -6x) = -6x + 2x Reorder the terms: -3(-8 + -4x) + (6 + -6x) = -6x + 2x (-8 * -3 + -4x * -3) + (6 + -6x) = -6x + 2x (24 + 12x) + (6 + -6x) = -6x + 2x Remove parenthesis around (6 + -6x) 24 + 12x + 6 + -6x = -6x + 2x Reorder the terms: 24 + 6 + 12x + -6x = -6x + 2x Combine like terms: 24 + 6 = 30 30 + 12x + -6x = -6x + 2x Combine like terms: 12x + -6x = 6x 30 + 6x = -6x + 2x Combine like terms: -6x + 2x = -4x 30 + 6x = -4x Solving 30 + 6x = -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. 30 + 6x + 4x = -4x + 4x Combine like terms: 6x + 4x = 10x 30 + 10x = -4x + 4x Combine like terms: -4x + 4x = 0 30 + 10x = 0 Add '-30' to each side of the equation. 30 + -30 + 10x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 0 + -30 10x = 0 + -30 Combine like terms: 0 + -30 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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