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Simplifying 49x + -42 = 24x + -18 + 126 Reorder the terms: -42 + 49x = 24x + -18 + 126 Reorder the terms: -42 + 49x = -18 + 126 + 24x Combine like terms: -18 + 126 = 108 -42 + 49x = 108 + 24x Solving -42 + 49x = 108 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -42 + 49x + -24x = 108 + 24x + -24x Combine like terms: 49x + -24x = 25x -42 + 25x = 108 + 24x + -24x Combine like terms: 24x + -24x = 0 -42 + 25x = 108 + 0 -42 + 25x = 108 Add '42' to each side of the equation. -42 + 42 + 25x = 108 + 42 Combine like terms: -42 + 42 = 0 0 + 25x = 108 + 42 25x = 108 + 42 Combine like terms: 108 + 42 = 150 25x = 150 Divide each side by '25'. x = 6 Simplifying x = 6
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