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Simplifying 3x + -17 = 7x + -5(x + -2) Reorder the terms: -17 + 3x = 7x + -5(x + -2) Reorder the terms: -17 + 3x = 7x + -5(-2 + x) -17 + 3x = 7x + (-2 * -5 + x * -5) -17 + 3x = 7x + (10 + -5x) Reorder the terms: -17 + 3x = 10 + 7x + -5x Combine like terms: 7x + -5x = 2x -17 + 3x = 10 + 2x Solving -17 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -17 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 1x = 10 + 0 -17 + 1x = 10 Add '17' to each side of the equation. -17 + 17 + 1x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 10 + 17 1x = 10 + 17 Combine like terms: 10 + 17 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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