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Simplifying 3(4x + -5) = 3x + -6 Reorder the terms: 3(-5 + 4x) = 3x + -6 (-5 * 3 + 4x * 3) = 3x + -6 (-15 + 12x) = 3x + -6 Reorder the terms: -15 + 12x = -6 + 3x Solving -15 + 12x = -6 + 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. -15 + 12x + -3x = -6 + 3x + -3x Combine like terms: 12x + -3x = 9x -15 + 9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 9x = -6 + 0 -15 + 9x = -6 Add '15' to each side of the equation. -15 + 15 + 9x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = -6 + 15 9x = -6 + 15 Combine like terms: -6 + 15 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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