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Simplifying -7(-5 + 5x) = -7(3 + x) (-5 * -7 + 5x * -7) = -7(3 + x) (35 + -35x) = -7(3 + x) 35 + -35x = (3 * -7 + x * -7) 35 + -35x = (-21 + -7x) Solving 35 + -35x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 35 + -35x + 7x = -21 + -7x + 7x Combine like terms: -35x + 7x = -28x 35 + -28x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + -28x = -21 + 0 35 + -28x = -21 Add '-35' to each side of the equation. 35 + -35 + -28x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -28x = -21 + -35 -28x = -21 + -35 Combine like terms: -21 + -35 = -56 -28x = -56 Divide each side by '-28'. x = 2 Simplifying x = 2
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