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Simplifying 5x + -17 = 2(2x + -7) Reorder the terms: -17 + 5x = 2(2x + -7) Reorder the terms: -17 + 5x = 2(-7 + 2x) -17 + 5x = (-7 * 2 + 2x * 2) -17 + 5x = (-14 + 4x) Solving -17 + 5x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 5x + -4x = -14 + 4x + -4x Combine like terms: 5x + -4x = 1x -17 + 1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 1x = -14 + 0 -17 + 1x = -14 Add '17' to each side of the equation. -17 + 17 + 1x = -14 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -14 + 17 1x = -14 + 17 Combine like terms: -14 + 17 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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