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Simplifying 10x + -17 = 14 + 5x + -22(2x + -7) Reorder the terms: -17 + 10x = 14 + 5x + -22(2x + -7) Reorder the terms: -17 + 10x = 14 + 5x + -22(-7 + 2x) -17 + 10x = 14 + 5x + (-7 * -22 + 2x * -22) -17 + 10x = 14 + 5x + (154 + -44x) Reorder the terms: -17 + 10x = 14 + 154 + 5x + -44x Combine like terms: 14 + 154 = 168 -17 + 10x = 168 + 5x + -44x Combine like terms: 5x + -44x = -39x -17 + 10x = 168 + -39x Solving -17 + 10x = 168 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. -17 + 10x + 39x = 168 + -39x + 39x Combine like terms: 10x + 39x = 49x -17 + 49x = 168 + -39x + 39x Combine like terms: -39x + 39x = 0 -17 + 49x = 168 + 0 -17 + 49x = 168 Add '17' to each side of the equation. -17 + 17 + 49x = 168 + 17 Combine like terms: -17 + 17 = 0 0 + 49x = 168 + 17 49x = 168 + 17 Combine like terms: 168 + 17 = 185 49x = 185 Divide each side by '49'. x = 3.775510204 Simplifying x = 3.775510204
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