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Simplifying 7(x + -1) = 2x + 13 Reorder the terms: 7(-1 + x) = 2x + 13 (-1 * 7 + x * 7) = 2x + 13 (-7 + 7x) = 2x + 13 Reorder the terms: -7 + 7x = 13 + 2x Solving -7 + 7x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 7x + -2x = 13 + 2x + -2x Combine like terms: 7x + -2x = 5x -7 + 5x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 5x = 13 + 0 -7 + 5x = 13 Add '7' to each side of the equation. -7 + 7 + 5x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 13 + 7 5x = 13 + 7 Combine like terms: 13 + 7 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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