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Simplifying 3(4x + -5) + 6 = 3x + 9 Reorder the terms: 3(-5 + 4x) + 6 = 3x + 9 (-5 * 3 + 4x * 3) + 6 = 3x + 9 (-15 + 12x) + 6 = 3x + 9 Reorder the terms: -15 + 6 + 12x = 3x + 9 Combine like terms: -15 + 6 = -9 -9 + 12x = 3x + 9 Reorder the terms: -9 + 12x = 9 + 3x Solving -9 + 12x = 9 + 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. -9 + 12x + -3x = 9 + 3x + -3x Combine like terms: 12x + -3x = 9x -9 + 9x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 9x = 9 + 0 -9 + 9x = 9 Add '9' to each side of the equation. -9 + 9 + 9x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 9 + 9 9x = 9 + 9 Combine like terms: 9 + 9 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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