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Simplifying 7(3x + -7) = x + 111 Reorder the terms: 7(-7 + 3x) = x + 111 (-7 * 7 + 3x * 7) = x + 111 (-49 + 21x) = x + 111 Reorder the terms: -49 + 21x = 111 + x Solving -49 + 21x = 111 + 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. -49 + 21x + -1x = 111 + x + -1x Combine like terms: 21x + -1x = 20x -49 + 20x = 111 + x + -1x Combine like terms: x + -1x = 0 -49 + 20x = 111 + 0 -49 + 20x = 111 Add '49' to each side of the equation. -49 + 49 + 20x = 111 + 49 Combine like terms: -49 + 49 = 0 0 + 20x = 111 + 49 20x = 111 + 49 Combine like terms: 111 + 49 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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