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Simplifying -7(2x + 8) = 4(-5x + -5) Reorder the terms: -7(8 + 2x) = 4(-5x + -5) (8 * -7 + 2x * -7) = 4(-5x + -5) (-56 + -14x) = 4(-5x + -5) Reorder the terms: -56 + -14x = 4(-5 + -5x) -56 + -14x = (-5 * 4 + -5x * 4) -56 + -14x = (-20 + -20x) Solving -56 + -14x = -20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -56 + -14x + 20x = -20 + -20x + 20x Combine like terms: -14x + 20x = 6x -56 + 6x = -20 + -20x + 20x Combine like terms: -20x + 20x = 0 -56 + 6x = -20 + 0 -56 + 6x = -20 Add '56' to each side of the equation. -56 + 56 + 6x = -20 + 56 Combine like terms: -56 + 56 = 0 0 + 6x = -20 + 56 6x = -20 + 56 Combine like terms: -20 + 56 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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