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Simplifying 8 + -2(6x + 1) = 2x + -2(2x + 7) Reorder the terms: 8 + -2(1 + 6x) = 2x + -2(2x + 7) 8 + (1 * -2 + 6x * -2) = 2x + -2(2x + 7) 8 + (-2 + -12x) = 2x + -2(2x + 7) Combine like terms: 8 + -2 = 6 6 + -12x = 2x + -2(2x + 7) Reorder the terms: 6 + -12x = 2x + -2(7 + 2x) 6 + -12x = 2x + (7 * -2 + 2x * -2) 6 + -12x = 2x + (-14 + -4x) Reorder the terms: 6 + -12x = -14 + 2x + -4x Combine like terms: 2x + -4x = -2x 6 + -12x = -14 + -2x Solving 6 + -12x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -12x + 2x = -14 + -2x + 2x Combine like terms: -12x + 2x = -10x 6 + -10x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -10x = -14 + 0 6 + -10x = -14 Add '-6' to each side of the equation. 6 + -6 + -10x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -14 + -6 -10x = -14 + -6 Combine like terms: -14 + -6 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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