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Simplifying 3(x + -7) = x + 1 Reorder the terms: 3(-7 + x) = x + 1 (-7 * 3 + x * 3) = x + 1 (-21 + 3x) = x + 1 Reorder the terms: -21 + 3x = 1 + x Solving -21 + 3x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x -21 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 -21 + 2x = 1 + 0 -21 + 2x = 1 Add '21' to each side of the equation. -21 + 21 + 2x = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 1 + 21 2x = 1 + 21 Combine like terms: 1 + 21 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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