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Simplifying -4(5 + 5x) = 7(-3x + -3) (5 * -4 + 5x * -4) = 7(-3x + -3) (-20 + -20x) = 7(-3x + -3) Reorder the terms: -20 + -20x = 7(-3 + -3x) -20 + -20x = (-3 * 7 + -3x * 7) -20 + -20x = (-21 + -21x) Solving -20 + -20x = -21 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -20 + -20x + 21x = -21 + -21x + 21x Combine like terms: -20x + 21x = 1x -20 + 1x = -21 + -21x + 21x Combine like terms: -21x + 21x = 0 -20 + 1x = -21 + 0 -20 + 1x = -21 Add '20' to each side of the equation. -20 + 20 + 1x = -21 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -21 + 20 1x = -21 + 20 Combine like terms: -21 + 20 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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