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Simplifying 3x + 21 = 17x + -1(17 * 7) Reorder the terms: 21 + 3x = 17x + -1(17 * 7) Multiply 17 * 7 21 + 3x = 17x + -1(119) Multiply -1 * 119 21 + 3x = 17x + -119 Reorder the terms: 21 + 3x = -119 + 17x Solving 21 + 3x = -119 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 21 + 3x + -17x = -119 + 17x + -17x Combine like terms: 3x + -17x = -14x 21 + -14x = -119 + 17x + -17x Combine like terms: 17x + -17x = 0 21 + -14x = -119 + 0 21 + -14x = -119 Add '-21' to each side of the equation. 21 + -21 + -14x = -119 + -21 Combine like terms: 21 + -21 = 0 0 + -14x = -119 + -21 -14x = -119 + -21 Combine like terms: -119 + -21 = -140 -14x = -140 Divide each side by '-14'. x = 10 Simplifying x = 10
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