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Simplifying -14 + 3(2x + -5) = 17 + -7x Reorder the terms: -14 + 3(-5 + 2x) = 17 + -7x -14 + (-5 * 3 + 2x * 3) = 17 + -7x -14 + (-15 + 6x) = 17 + -7x Combine like terms: -14 + -15 = -29 -29 + 6x = 17 + -7x Solving -29 + 6x = 17 + -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. -29 + 6x + 7x = 17 + -7x + 7x Combine like terms: 6x + 7x = 13x -29 + 13x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -29 + 13x = 17 + 0 -29 + 13x = 17 Add '29' to each side of the equation. -29 + 29 + 13x = 17 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = 17 + 29 13x = 17 + 29 Combine like terms: 17 + 29 = 46 13x = 46 Divide each side by '13'. x = 3.538461538 Simplifying x = 3.538461538
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