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Simplifying 3(2x + 5) + -4 = 4x + -17 Reorder the terms: 3(5 + 2x) + -4 = 4x + -17 (5 * 3 + 2x * 3) + -4 = 4x + -17 (15 + 6x) + -4 = 4x + -17 Reorder the terms: 15 + -4 + 6x = 4x + -17 Combine like terms: 15 + -4 = 11 11 + 6x = 4x + -17 Reorder the terms: 11 + 6x = -17 + 4x Solving 11 + 6x = -17 + 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. 11 + 6x + -4x = -17 + 4x + -4x Combine like terms: 6x + -4x = 2x 11 + 2x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 2x = -17 + 0 11 + 2x = -17 Add '-11' to each side of the equation. 11 + -11 + 2x = -17 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = -17 + -11 2x = -17 + -11 Combine like terms: -17 + -11 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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