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Simplifying 25x = 5[7(x + -2) + 4] Reorder the terms: 25x = 5[7(-2 + x) + 4] 25x = 5[(-2 * 7 + x * 7) + 4] 25x = 5[(-14 + 7x) + 4] Reorder the terms: 25x = 5[-14 + 4 + 7x] Combine like terms: -14 + 4 = -10 25x = 5[-10 + 7x] 25x = [-10 * 5 + 7x * 5] 25x = [-50 + 35x] Solving 25x = -50 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 25x + -35x = -50 + 35x + -35x Combine like terms: 25x + -35x = -10x -10x = -50 + 35x + -35x Combine like terms: 35x + -35x = 0 -10x = -50 + 0 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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