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Simplifying -7(x + -5) = 21 + -5x Reorder the terms: -7(-5 + x) = 21 + -5x (-5 * -7 + x * -7) = 21 + -5x (35 + -7x) = 21 + -5x Solving 35 + -7x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 35 + -7x + 5x = 21 + -5x + 5x Combine like terms: -7x + 5x = -2x 35 + -2x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 35 + -2x = 21 + 0 35 + -2x = 21 Add '-35' to each side of the equation. 35 + -35 + -2x = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 21 + -35 -2x = 21 + -35 Combine like terms: 21 + -35 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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