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Simplifying -6 = -7x + 5(x + -4) Reorder the terms: -6 = -7x + 5(-4 + x) -6 = -7x + (-4 * 5 + x * 5) -6 = -7x + (-20 + 5x) Reorder the terms: -6 = -20 + -7x + 5x Combine like terms: -7x + 5x = -2x -6 = -20 + -2x Solving -6 = -20 + -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 + 2x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 2x = -20 + 0 -6 + 2x = -20 Add '6' to each side of the equation. -6 + 6 + 2x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -20 + 6 2x = -20 + 6 Combine like terms: -20 + 6 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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