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Simplifying 9(x + -2) + -1(3x + 1) = 7 + -7x Reorder the terms: 9(-2 + x) + -1(3x + 1) = 7 + -7x (-2 * 9 + x * 9) + -1(3x + 1) = 7 + -7x (-18 + 9x) + -1(3x + 1) = 7 + -7x Reorder the terms: -18 + 9x + -1(1 + 3x) = 7 + -7x -18 + 9x + (1 * -1 + 3x * -1) = 7 + -7x -18 + 9x + (-1 + -3x) = 7 + -7x Reorder the terms: -18 + -1 + 9x + -3x = 7 + -7x Combine like terms: -18 + -1 = -19 -19 + 9x + -3x = 7 + -7x Combine like terms: 9x + -3x = 6x -19 + 6x = 7 + -7x Solving -19 + 6x = 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. -19 + 6x + 7x = 7 + -7x + 7x Combine like terms: 6x + 7x = 13x -19 + 13x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -19 + 13x = 7 + 0 -19 + 13x = 7 Add '19' to each side of the equation. -19 + 19 + 13x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 13x = 7 + 19 13x = 7 + 19 Combine like terms: 7 + 19 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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