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Simplifying -3x + -2(7 + 5x) = 17 + -5(2x + -5) -3x + (7 * -2 + 5x * -2) = 17 + -5(2x + -5) -3x + (-14 + -10x) = 17 + -5(2x + -5) Reorder the terms: -14 + -3x + -10x = 17 + -5(2x + -5) Combine like terms: -3x + -10x = -13x -14 + -13x = 17 + -5(2x + -5) Reorder the terms: -14 + -13x = 17 + -5(-5 + 2x) -14 + -13x = 17 + (-5 * -5 + 2x * -5) -14 + -13x = 17 + (25 + -10x) Combine like terms: 17 + 25 = 42 -14 + -13x = 42 + -10x Solving -14 + -13x = 42 + -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. -14 + -13x + 10x = 42 + -10x + 10x Combine like terms: -13x + 10x = -3x -14 + -3x = 42 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + -3x = 42 + 0 -14 + -3x = 42 Add '14' to each side of the equation. -14 + 14 + -3x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 42 + 14 -3x = 42 + 14 Combine like terms: 42 + 14 = 56 -3x = 56 Divide each side by '-3'. x = -18.66666667 Simplifying x = -18.66666667
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