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Simplifying -2(-6x + -6) + 4(x + 3) = 1 + -6x + x + 2 Reorder the terms: -2(-6 + -6x) + 4(x + 3) = 1 + -6x + x + 2 (-6 * -2 + -6x * -2) + 4(x + 3) = 1 + -6x + x + 2 (12 + 12x) + 4(x + 3) = 1 + -6x + x + 2 Reorder the terms: 12 + 12x + 4(3 + x) = 1 + -6x + x + 2 12 + 12x + (3 * 4 + x * 4) = 1 + -6x + x + 2 12 + 12x + (12 + 4x) = 1 + -6x + x + 2 Reorder the terms: 12 + 12 + 12x + 4x = 1 + -6x + x + 2 Combine like terms: 12 + 12 = 24 24 + 12x + 4x = 1 + -6x + x + 2 Combine like terms: 12x + 4x = 16x 24 + 16x = 1 + -6x + x + 2 Reorder the terms: 24 + 16x = 1 + 2 + -6x + x Combine like terms: 1 + 2 = 3 24 + 16x = 3 + -6x + x Combine like terms: -6x + x = -5x 24 + 16x = 3 + -5x Solving 24 + 16x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24 + 16x + 5x = 3 + -5x + 5x Combine like terms: 16x + 5x = 21x 24 + 21x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 21x = 3 + 0 24 + 21x = 3 Add '-24' to each side of the equation. 24 + -24 + 21x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 21x = 3 + -24 21x = 3 + -24 Combine like terms: 3 + -24 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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