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Simplifying 7(2x + -1) + -5x = 8x + 25 Reorder the terms: 7(-1 + 2x) + -5x = 8x + 25 (-1 * 7 + 2x * 7) + -5x = 8x + 25 (-7 + 14x) + -5x = 8x + 25 Combine like terms: 14x + -5x = 9x -7 + 9x = 8x + 25 Reorder the terms: -7 + 9x = 25 + 8x Solving -7 + 9x = 25 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 9x + -8x = 25 + 8x + -8x Combine like terms: 9x + -8x = 1x -7 + 1x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 1x = 25 + 0 -7 + 1x = 25 Add '7' to each side of the equation. -7 + 7 + 1x = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 25 + 7 1x = 25 + 7 Combine like terms: 25 + 7 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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