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Simplifying 7(5x + -1) = 21(x + 1) Reorder the terms: 7(-1 + 5x) = 21(x + 1) (-1 * 7 + 5x * 7) = 21(x + 1) (-7 + 35x) = 21(x + 1) Reorder the terms: -7 + 35x = 21(1 + x) -7 + 35x = (1 * 21 + x * 21) -7 + 35x = (21 + 21x) Solving -7 + 35x = 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. -7 + 35x + -21x = 21 + 21x + -21x Combine like terms: 35x + -21x = 14x -7 + 14x = 21 + 21x + -21x Combine like terms: 21x + -21x = 0 -7 + 14x = 21 + 0 -7 + 14x = 21 Add '7' to each side of the equation. -7 + 7 + 14x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 21 + 7 14x = 21 + 7 Combine like terms: 21 + 7 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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