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Simplifying 5(3x + -1) + -6 = 3x + -2 Reorder the terms: 5(-1 + 3x) + -6 = 3x + -2 (-1 * 5 + 3x * 5) + -6 = 3x + -2 (-5 + 15x) + -6 = 3x + -2 Reorder the terms: -5 + -6 + 15x = 3x + -2 Combine like terms: -5 + -6 = -11 -11 + 15x = 3x + -2 Reorder the terms: -11 + 15x = -2 + 3x Solving -11 + 15x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 15x + -3x = -2 + 3x + -3x Combine like terms: 15x + -3x = 12x -11 + 12x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 12x = -2 + 0 -11 + 12x = -2 Add '11' to each side of the equation. -11 + 11 + 12x = -2 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = -2 + 11 12x = -2 + 11 Combine like terms: -2 + 11 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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