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Simplifying 3x + -1(x + 4) = -7(x + 7) Reorder the terms: 3x + -1(4 + x) = -7(x + 7) 3x + (4 * -1 + x * -1) = -7(x + 7) 3x + (-4 + -1x) = -7(x + 7) Reorder the terms: -4 + 3x + -1x = -7(x + 7) Combine like terms: 3x + -1x = 2x -4 + 2x = -7(x + 7) Reorder the terms: -4 + 2x = -7(7 + x) -4 + 2x = (7 * -7 + x * -7) -4 + 2x = (-49 + -7x) Solving -4 + 2x = -49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + 2x + 7x = -49 + -7x + 7x Combine like terms: 2x + 7x = 9x -4 + 9x = -49 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 9x = -49 + 0 -4 + 9x = -49 Add '4' to each side of the equation. -4 + 4 + 9x = -49 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = -49 + 4 9x = -49 + 4 Combine like terms: -49 + 4 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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