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Simplifying 100x + -38 + 17 = 260 + -10x + 49 Reorder the terms: -38 + 17 + 100x = 260 + -10x + 49 Combine like terms: -38 + 17 = -21 -21 + 100x = 260 + -10x + 49 Reorder the terms: -21 + 100x = 260 + 49 + -10x Combine like terms: 260 + 49 = 309 -21 + 100x = 309 + -10x Solving -21 + 100x = 309 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -21 + 100x + 10x = 309 + -10x + 10x Combine like terms: 100x + 10x = 110x -21 + 110x = 309 + -10x + 10x Combine like terms: -10x + 10x = 0 -21 + 110x = 309 + 0 -21 + 110x = 309 Add '21' to each side of the equation. -21 + 21 + 110x = 309 + 21 Combine like terms: -21 + 21 = 0 0 + 110x = 309 + 21 110x = 309 + 21 Combine like terms: 309 + 21 = 330 110x = 330 Divide each side by '110'. x = 3 Simplifying x = 3
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