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Simplifying 6(2x + -5) + 3 = 5x + -6 Reorder the terms: 6(-5 + 2x) + 3 = 5x + -6 (-5 * 6 + 2x * 6) + 3 = 5x + -6 (-30 + 12x) + 3 = 5x + -6 Reorder the terms: -30 + 3 + 12x = 5x + -6 Combine like terms: -30 + 3 = -27 -27 + 12x = 5x + -6 Reorder the terms: -27 + 12x = -6 + 5x Solving -27 + 12x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 12x + -5x = -6 + 5x + -5x Combine like terms: 12x + -5x = 7x -27 + 7x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 7x = -6 + 0 -27 + 7x = -6 Add '27' to each side of the equation. -27 + 27 + 7x = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = -6 + 27 7x = -6 + 27 Combine like terms: -6 + 27 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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