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Simplifying 8 + -2(3x + 1) = 2(3x + -3) Reorder the terms: 8 + -2(1 + 3x) = 2(3x + -3) 8 + (1 * -2 + 3x * -2) = 2(3x + -3) 8 + (-2 + -6x) = 2(3x + -3) Combine like terms: 8 + -2 = 6 6 + -6x = 2(3x + -3) Reorder the terms: 6 + -6x = 2(-3 + 3x) 6 + -6x = (-3 * 2 + 3x * 2) 6 + -6x = (-6 + 6x) Solving 6 + -6x = -6 + 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 + -6x + -6x = -6 + 6x + -6x Combine like terms: -6x + -6x = -12x 6 + -12x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -12x = -6 + 0 6 + -12x = -6 Add '-6' to each side of the equation. 6 + -6 + -12x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -6 + -6 -12x = -6 + -6 Combine like terms: -6 + -6 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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