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Simplifying 13 + -10x = 47 + -17x Solving 13 + -10x = 47 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 13 + -10x + 17x = 47 + -17x + 17x Combine like terms: -10x + 17x = 7x 13 + 7x = 47 + -17x + 17x Combine like terms: -17x + 17x = 0 13 + 7x = 47 + 0 13 + 7x = 47 Add '-13' to each side of the equation. 13 + -13 + 7x = 47 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 47 + -13 7x = 47 + -13 Combine like terms: 47 + -13 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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