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Simplifying -157 = 3x + -5(5x + 5) Reorder the terms: -157 = 3x + -5(5 + 5x) -157 = 3x + (5 * -5 + 5x * -5) -157 = 3x + (-25 + -25x) Reorder the terms: -157 = -25 + 3x + -25x Combine like terms: 3x + -25x = -22x -157 = -25 + -22x Solving -157 = -25 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -157 + 22x = -25 + -22x + 22x Combine like terms: -22x + 22x = 0 -157 + 22x = -25 + 0 -157 + 22x = -25 Add '157' to each side of the equation. -157 + 157 + 22x = -25 + 157 Combine like terms: -157 + 157 = 0 0 + 22x = -25 + 157 22x = -25 + 157 Combine like terms: -25 + 157 = 132 22x = 132 Divide each side by '22'. x = 6 Simplifying x = 6
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