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Simplifying 12 + -6(x + 3) = 8 + -2(x + 7) Reorder the terms: 12 + -6(3 + x) = 8 + -2(x + 7) 12 + (3 * -6 + x * -6) = 8 + -2(x + 7) 12 + (-18 + -6x) = 8 + -2(x + 7) Combine like terms: 12 + -18 = -6 -6 + -6x = 8 + -2(x + 7) Reorder the terms: -6 + -6x = 8 + -2(7 + x) -6 + -6x = 8 + (7 * -2 + x * -2) -6 + -6x = 8 + (-14 + -2x) Combine like terms: 8 + -14 = -6 -6 + -6x = -6 + -2x Add '6' to each side of the equation. -6 + 6 + -6x = -6 + 6 + -2x Combine like terms: -6 + 6 = 0 0 + -6x = -6 + 6 + -2x -6x = -6 + 6 + -2x Combine like terms: -6 + 6 = 0 -6x = 0 + -2x -6x = -2x Solving -6x = -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. -6x + 2x = -2x + 2x Combine like terms: -6x + 2x = -4x -4x = -2x + 2x Combine like terms: -2x + 2x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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