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Simplifying 7(x + -3) + -1 = 5x + 2 Reorder the terms: 7(-3 + x) + -1 = 5x + 2 (-3 * 7 + x * 7) + -1 = 5x + 2 (-21 + 7x) + -1 = 5x + 2 Reorder the terms: -21 + -1 + 7x = 5x + 2 Combine like terms: -21 + -1 = -22 -22 + 7x = 5x + 2 Reorder the terms: -22 + 7x = 2 + 5x Solving -22 + 7x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22 + 7x + -5x = 2 + 5x + -5x Combine like terms: 7x + -5x = 2x -22 + 2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + 2x = 2 + 0 -22 + 2x = 2 Add '22' to each side of the equation. -22 + 22 + 2x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 2 + 22 2x = 2 + 22 Combine like terms: 2 + 22 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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