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Simplifying -34 = -4(x + 4) + -5x Reorder the terms: -34 = -4(4 + x) + -5x -34 = (4 * -4 + x * -4) + -5x -34 = (-16 + -4x) + -5x Combine like terms: -4x + -5x = -9x -34 = -16 + -9x Solving -34 = -16 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -34 + 9x = -16 + -9x + 9x Combine like terms: -9x + 9x = 0 -34 + 9x = -16 + 0 -34 + 9x = -16 Add '34' to each side of the equation. -34 + 34 + 9x = -16 + 34 Combine like terms: -34 + 34 = 0 0 + 9x = -16 + 34 9x = -16 + 34 Combine like terms: -16 + 34 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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