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Simplifying 7(2x + (-1)) + (-5x) = x + 25 7(2x + -1) + (-5x) = x + 25 Reorder the terms: 7(-1 + 2x) + (-5x) = x + 25 (-1 * 7 + 2x * 7) + (-5x) = x + 25 (-7 + 14x) + (-5x) = x + 25 Combine like terms: 14x + (-5x) = 9x -7 + 9x = x + 25 Reorder the terms: -7 + 9x = 25 + x Solving -7 + 9x = 25 + 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 + 9x + -1x = 25 + x + -1x Combine like terms: 9x + -1x = 8x -7 + 8x = 25 + x + -1x Combine like terms: x + -1x = 0 -7 + 8x = 25 + 0 -7 + 8x = 25 Add '7' to each side of the equation. -7 + 7 + 8x = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 25 + 7 8x = 25 + 7 Combine like terms: 25 + 7 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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