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Simplifying 21(x + -1) = 7(3 + -1x) + 14x Reorder the terms: 21(-1 + x) = 7(3 + -1x) + 14x (-1 * 21 + x * 21) = 7(3 + -1x) + 14x (-21 + 21x) = 7(3 + -1x) + 14x -21 + 21x = (3 * 7 + -1x * 7) + 14x -21 + 21x = (21 + -7x) + 14x Combine like terms: -7x + 14x = 7x -21 + 21x = 21 + 7x Solving -21 + 21x = 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. -21 + 21x + -7x = 21 + 7x + -7x Combine like terms: 21x + -7x = 14x -21 + 14x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 14x = 21 + 0 -21 + 14x = 21 Add '21' to each side of the equation. -21 + 21 + 14x = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 14x = 21 + 21 14x = 21 + 21 Combine like terms: 21 + 21 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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