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Simplifying 7(x + -1) = x + 23 Reorder the terms: 7(-1 + x) = x + 23 (-1 * 7 + x * 7) = x + 23 (-7 + 7x) = x + 23 Reorder the terms: -7 + 7x = 23 + x Solving -7 + 7x = 23 + 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. -7 + 7x + -1x = 23 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = 23 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = 23 + 0 -7 + 6x = 23 Add '7' to each side of the equation. -7 + 7 + 6x = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 23 + 7 6x = 23 + 7 Combine like terms: 23 + 7 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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