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Simplifying 3(6x + -12) + -5x = 6x + 17 Reorder the terms: 3(-12 + 6x) + -5x = 6x + 17 (-12 * 3 + 6x * 3) + -5x = 6x + 17 (-36 + 18x) + -5x = 6x + 17 Combine like terms: 18x + -5x = 13x -36 + 13x = 6x + 17 Reorder the terms: -36 + 13x = 17 + 6x Solving -36 + 13x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 13x + -6x = 17 + 6x + -6x Combine like terms: 13x + -6x = 7x -36 + 7x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 7x = 17 + 0 -36 + 7x = 17 Add '36' to each side of the equation. -36 + 36 + 7x = 17 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = 17 + 36 7x = 17 + 36 Combine like terms: 17 + 36 = 53 7x = 53 Divide each side by '7'. x = 7.571428571 Simplifying x = 7.571428571
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