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Simplifying 3(5x + -3) + -17 = 11x + 2 Reorder the terms: 3(-3 + 5x) + -17 = 11x + 2 (-3 * 3 + 5x * 3) + -17 = 11x + 2 (-9 + 15x) + -17 = 11x + 2 Reorder the terms: -9 + -17 + 15x = 11x + 2 Combine like terms: -9 + -17 = -26 -26 + 15x = 11x + 2 Reorder the terms: -26 + 15x = 2 + 11x Solving -26 + 15x = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -26 + 15x + -11x = 2 + 11x + -11x Combine like terms: 15x + -11x = 4x -26 + 4x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 -26 + 4x = 2 + 0 -26 + 4x = 2 Add '26' to each side of the equation. -26 + 26 + 4x = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = 2 + 26 4x = 2 + 26 Combine like terms: 2 + 26 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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