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Simplifying -7x + -21 = 7(x + 5) Reorder the terms: -21 + -7x = 7(x + 5) Reorder the terms: -21 + -7x = 7(5 + x) -21 + -7x = (5 * 7 + x * 7) -21 + -7x = (35 + 7x) Solving -21 + -7x = 35 + 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. -21 + -7x + -7x = 35 + 7x + -7x Combine like terms: -7x + -7x = -14x -21 + -14x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -14x = 35 + 0 -21 + -14x = 35 Add '21' to each side of the equation. -21 + 21 + -14x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + -14x = 35 + 21 -14x = 35 + 21 Combine like terms: 35 + 21 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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