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Simplifying 7(x + -2) + -7(4 + -1x) = x Reorder the terms: 7(-2 + x) + -7(4 + -1x) = x (-2 * 7 + x * 7) + -7(4 + -1x) = x (-14 + 7x) + -7(4 + -1x) = x -14 + 7x + (4 * -7 + -1x * -7) = x -14 + 7x + (-28 + 7x) = x Reorder the terms: -14 + -28 + 7x + 7x = x Combine like terms: -14 + -28 = -42 -42 + 7x + 7x = x Combine like terms: 7x + 7x = 14x -42 + 14x = x Solving -42 + 14x = 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. -42 + 14x + -1x = x + -1x Combine like terms: 14x + -1x = 13x -42 + 13x = x + -1x Combine like terms: x + -1x = 0 -42 + 13x = 0 Add '42' to each side of the equation. -42 + 42 + 13x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 13x = 0 + 42 13x = 0 + 42 Combine like terms: 0 + 42 = 42 13x = 42 Divide each side by '13'. x = 3.230769231 Simplifying x = 3.230769231
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