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Simplifying 49 + 10x = 400 + 7x Solving 49 + 10x = 400 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 49 + 10x + -7x = 400 + 7x + -7x Combine like terms: 10x + -7x = 3x 49 + 3x = 400 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + 3x = 400 + 0 49 + 3x = 400 Add '-49' to each side of the equation. 49 + -49 + 3x = 400 + -49 Combine like terms: 49 + -49 = 0 0 + 3x = 400 + -49 3x = 400 + -49 Combine like terms: 400 + -49 = 351 3x = 351 Divide each side by '3'. x = 117 Simplifying x = 117
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