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Simplifying -34 + -8x = 2x + -7(x + 7) Reorder the terms: -34 + -8x = 2x + -7(7 + x) -34 + -8x = 2x + (7 * -7 + x * -7) -34 + -8x = 2x + (-49 + -7x) Reorder the terms: -34 + -8x = -49 + 2x + -7x Combine like terms: 2x + -7x = -5x -34 + -8x = -49 + -5x Solving -34 + -8x = -49 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -34 + -8x + 5x = -49 + -5x + 5x Combine like terms: -8x + 5x = -3x -34 + -3x = -49 + -5x + 5x Combine like terms: -5x + 5x = 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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