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Simplifying 21(x + -1) = 7(3 + -1x) * 1 + -14 Reorder the terms: 21(-1 + x) = 7(3 + -1x) * 1 + -14 (-1 * 21 + x * 21) = 7(3 + -1x) * 1 + -14 (-21 + 21x) = 7(3 + -1x) * 1 + -14 Reorder the terms for easier multiplication: -21 + 21x = 7 * 1(3 + -1x) + -14 Multiply 7 * 1 -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 = 28x -21 + 28x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 28x = 7 + 0 -21 + 28x = 7 Add '21' to each side of the equation. -21 + 21 + 28x = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 28x = 7 + 21 28x = 7 + 21 Combine like terms: 7 + 21 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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