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Simplifying -214 = 4x + -5(-5x + 8) Reorder the terms: -214 = 4x + -5(8 + -5x) -214 = 4x + (8 * -5 + -5x * -5) -214 = 4x + (-40 + 25x) Reorder the terms: -214 = -40 + 4x + 25x Combine like terms: 4x + 25x = 29x -214 = -40 + 29x Solving -214 = -40 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -214 + -29x = -40 + 29x + -29x Combine like terms: 29x + -29x = 0 -214 + -29x = -40 + 0 -214 + -29x = -40 Add '214' to each side of the equation. -214 + 214 + -29x = -40 + 214 Combine like terms: -214 + 214 = 0 0 + -29x = -40 + 214 -29x = -40 + 214 Combine like terms: -40 + 214 = 174 -29x = 174 Divide each side by '-29'. x = -6 Simplifying x = -6
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