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