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Simplifying -3x + 13 = 5(-5x + 7) Reorder the terms: 13 + -3x = 5(-5x + 7) Reorder the terms: 13 + -3x = 5(7 + -5x) 13 + -3x = (7 * 5 + -5x * 5) 13 + -3x = (35 + -25x) Solving 13 + -3x = 35 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 13 + -3x + 25x = 35 + -25x + 25x Combine like terms: -3x + 25x = 22x 13 + 22x = 35 + -25x + 25x Combine like terms: -25x + 25x = 0 13 + 22x = 35 + 0 13 + 22x = 35 Add '-13' to each side of the equation. 13 + -13 + 22x = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 22x = 35 + -13 22x = 35 + -13 Combine like terms: 35 + -13 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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