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Simplifying 7(-2x + 6) + -1(2 + -12x) = 0 Reorder the terms: 7(6 + -2x) + -1(2 + -12x) = 0 (6 * 7 + -2x * 7) + -1(2 + -12x) = 0 (42 + -14x) + -1(2 + -12x) = 0 42 + -14x + (2 * -1 + -12x * -1) = 0 42 + -14x + (-2 + 12x) = 0 Reorder the terms: 42 + -2 + -14x + 12x = 0 Combine like terms: 42 + -2 = 40 40 + -14x + 12x = 0 Combine like terms: -14x + 12x = -2x 40 + -2x = 0 Solving 40 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -2x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 0 + -40 -2x = 0 + -40 Combine like terms: 0 + -40 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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