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Simplifying -17x + 14 = 20x + -2x + 5 + -1(-3) Reorder the terms: 14 + -17x = 20x + -2x + 5 + -1(-3) Multiply -1 * -3 14 + -17x = 20x + -2x + 5 + 3 Reorder the terms: 14 + -17x = 5 + 3 + 20x + -2x Combine like terms: 5 + 3 = 8 14 + -17x = 8 + 20x + -2x Combine like terms: 20x + -2x = 18x 14 + -17x = 8 + 18x Solving 14 + -17x = 8 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 14 + -17x + -18x = 8 + 18x + -18x Combine like terms: -17x + -18x = -35x 14 + -35x = 8 + 18x + -18x Combine like terms: 18x + -18x = 0 14 + -35x = 8 + 0 14 + -35x = 8 Add '-14' to each side of the equation. 14 + -14 + -35x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -35x = 8 + -14 -35x = 8 + -14 Combine like terms: 8 + -14 = -6 -35x = -6 Divide each side by '-35'. x = 0.1714285714 Simplifying x = 0.1714285714
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