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Simplifying 10x + -269 = -7x + 71 Reorder the terms: -269 + 10x = -7x + 71 Reorder the terms: -269 + 10x = 71 + -7x Solving -269 + 10x = 71 + -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. -269 + 10x + 7x = 71 + -7x + 7x Combine like terms: 10x + 7x = 17x -269 + 17x = 71 + -7x + 7x Combine like terms: -7x + 7x = 0 -269 + 17x = 71 + 0 -269 + 17x = 71 Add '269' to each side of the equation. -269 + 269 + 17x = 71 + 269 Combine like terms: -269 + 269 = 0 0 + 17x = 71 + 269 17x = 71 + 269 Combine like terms: 71 + 269 = 340 17x = 340 Divide each side by '17'. x = 20 Simplifying x = 20
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