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Simplifying 13 + 2x = 5(10 + -7x) 13 + 2x = (10 * 5 + -7x * 5) 13 + 2x = (50 + -35x) Solving 13 + 2x = 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. 13 + 2x + 35x = 50 + -35x + 35x Combine like terms: 2x + 35x = 37x 13 + 37x = 50 + -35x + 35x Combine like terms: -35x + 35x = 0 13 + 37x = 50 + 0 13 + 37x = 50 Add '-13' to each side of the equation. 13 + -13 + 37x = 50 + -13 Combine like terms: 13 + -13 = 0 0 + 37x = 50 + -13 37x = 50 + -13 Combine like terms: 50 + -13 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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