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Simplifying 9 + 2(x + -5) + 5x = 3 + -1(x + 7) + 7x Reorder the terms: 9 + 2(-5 + x) + 5x = 3 + -1(x + 7) + 7x 9 + (-5 * 2 + x * 2) + 5x = 3 + -1(x + 7) + 7x 9 + (-10 + 2x) + 5x = 3 + -1(x + 7) + 7x Combine like terms: 9 + -10 = -1 -1 + 2x + 5x = 3 + -1(x + 7) + 7x Combine like terms: 2x + 5x = 7x -1 + 7x = 3 + -1(x + 7) + 7x Reorder the terms: -1 + 7x = 3 + -1(7 + x) + 7x -1 + 7x = 3 + (7 * -1 + x * -1) + 7x -1 + 7x = 3 + (-7 + -1x) + 7x Combine like terms: 3 + -7 = -4 -1 + 7x = -4 + -1x + 7x Combine like terms: -1x + 7x = 6x -1 + 7x = -4 + 6x Solving -1 + 7x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 7x + -6x = -4 + 6x + -6x Combine like terms: 7x + -6x = 1x -1 + 1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 1x = -4 + 0 -1 + 1x = -4 Add '1' to each side of the equation. -1 + 1 + 1x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -4 + 1 1x = -4 + 1 Combine like terms: -4 + 1 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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