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Simplifying x + -17 = 5x + 3(1 + -1x) Reorder the terms: -17 + x = 5x + 3(1 + -1x) -17 + x = 5x + (1 * 3 + -1x * 3) -17 + x = 5x + (3 + -3x) Reorder the terms: -17 + x = 3 + 5x + -3x Combine like terms: 5x + -3x = 2x -17 + x = 3 + 2x Solving -17 + x = 3 + 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 + x + -2x = 3 + 2x + -2x Combine like terms: x + -2x = -1x -17 + -1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -1x = 3 + 0 -17 + -1x = 3 Add '17' to each side of the equation. -17 + 17 + -1x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 3 + 17 -1x = 3 + 17 Combine like terms: 3 + 17 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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