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Simplifying 13 + -10x = 178 + -45x Solving 13 + -10x = 178 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 13 + -10x + 45x = 178 + -45x + 45x Combine like terms: -10x + 45x = 35x 13 + 35x = 178 + -45x + 45x Combine like terms: -45x + 45x = 0 13 + 35x = 178 + 0 13 + 35x = 178 Add '-13' to each side of the equation. 13 + -13 + 35x = 178 + -13 Combine like terms: 13 + -13 = 0 0 + 35x = 178 + -13 35x = 178 + -13 Combine like terms: 178 + -13 = 165 35x = 165 Divide each side by '35'. x = 4.714285714 Simplifying x = 4.714285714
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