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Simplifying 3(4x + -5) + -2 = 6x + -1 Reorder the terms: 3(-5 + 4x) + -2 = 6x + -1 (-5 * 3 + 4x * 3) + -2 = 6x + -1 (-15 + 12x) + -2 = 6x + -1 Reorder the terms: -15 + -2 + 12x = 6x + -1 Combine like terms: -15 + -2 = -17 -17 + 12x = 6x + -1 Reorder the terms: -17 + 12x = -1 + 6x Solving -17 + 12x = -1 + 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. -17 + 12x + -6x = -1 + 6x + -6x Combine like terms: 12x + -6x = 6x -17 + 6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + 6x = -1 + 0 -17 + 6x = -1 Add '17' to each side of the equation. -17 + 17 + 6x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = -1 + 17 6x = -1 + 17 Combine like terms: -1 + 17 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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