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Simplifying 7(x + -2) + -1(7 + 5x) = x Reorder the terms: 7(-2 + x) + -1(7 + 5x) = x (-2 * 7 + x * 7) + -1(7 + 5x) = x (-14 + 7x) + -1(7 + 5x) = x -14 + 7x + (7 * -1 + 5x * -1) = x -14 + 7x + (-7 + -5x) = x Reorder the terms: -14 + -7 + 7x + -5x = x Combine like terms: -14 + -7 = -21 -21 + 7x + -5x = x Combine like terms: 7x + -5x = 2x -21 + 2x = x Solving -21 + 2x = 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 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x -21 + 1x = x + -1x Combine like terms: x + -1x = 0 -21 + 1x = 0 Add '21' to each side of the equation. -21 + 21 + 1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 0 + 21 1x = 0 + 21 Combine like terms: 0 + 21 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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