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Simplifying 7x + -1(2x + 4) = 3(x + -6) Reorder the terms: 7x + -1(4 + 2x) = 3(x + -6) 7x + (4 * -1 + 2x * -1) = 3(x + -6) 7x + (-4 + -2x) = 3(x + -6) Reorder the terms: -4 + 7x + -2x = 3(x + -6) Combine like terms: 7x + -2x = 5x -4 + 5x = 3(x + -6) Reorder the terms: -4 + 5x = 3(-6 + x) -4 + 5x = (-6 * 3 + x * 3) -4 + 5x = (-18 + 3x) Solving -4 + 5x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = -18 + 0 -4 + 2x = -18 Add '4' to each side of the equation. -4 + 4 + 2x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -18 + 4 2x = -18 + 4 Combine like terms: -18 + 4 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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