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Simplifying -4x + -34 = -7(x + 7) Reorder the terms: -34 + -4x = -7(x + 7) Reorder the terms: -34 + -4x = -7(7 + x) -34 + -4x = (7 * -7 + x * -7) -34 + -4x = (-49 + -7x) Solving -34 + -4x = -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. -34 + -4x + 7x = -49 + -7x + 7x Combine like terms: -4x + 7x = 3x -34 + 3x = -49 + -7x + 7x Combine like terms: -7x + 7x = 0 -34 + 3x = -49 + 0 -34 + 3x = -49 Add '34' to each side of the equation. -34 + 34 + 3x = -49 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = -49 + 34 3x = -49 + 34 Combine like terms: -49 + 34 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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