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Simplifying -4(-7x + 7) = -1(-20 + -4x) Reorder the terms: -4(7 + -7x) = -1(-20 + -4x) (7 * -4 + -7x * -4) = -1(-20 + -4x) (-28 + 28x) = -1(-20 + -4x) -28 + 28x = (-20 * -1 + -4x * -1) -28 + 28x = (20 + 4x) Solving -28 + 28x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -28 + 28x + -4x = 20 + 4x + -4x Combine like terms: 28x + -4x = 24x -28 + 24x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 24x = 20 + 0 -28 + 24x = 20 Add '28' to each side of the equation. -28 + 28 + 24x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 24x = 20 + 28 24x = 20 + 28 Combine like terms: 20 + 28 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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