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Simplifying -2(-7x + 3) = 12(x + 1) Reorder the terms: -2(3 + -7x) = 12(x + 1) (3 * -2 + -7x * -2) = 12(x + 1) (-6 + 14x) = 12(x + 1) Reorder the terms: -6 + 14x = 12(1 + x) -6 + 14x = (1 * 12 + x * 12) -6 + 14x = (12 + 12x) Solving -6 + 14x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 14x + -12x = 12 + 12x + -12x Combine like terms: 14x + -12x = 2x -6 + 2x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 2x = 12 + 0 -6 + 2x = 12 Add '6' to each side of the equation. -6 + 6 + 2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 12 + 6 2x = 12 + 6 Combine like terms: 12 + 6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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