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Simplifying -3(4x + 3) + 6x + 3 = 54 Reorder the terms: -3(3 + 4x) + 6x + 3 = 54 (3 * -3 + 4x * -3) + 6x + 3 = 54 (-9 + -12x) + 6x + 3 = 54 Reorder the terms: -9 + 3 + -12x + 6x = 54 Combine like terms: -9 + 3 = -6 -6 + -12x + 6x = 54 Combine like terms: -12x + 6x = -6x -6 + -6x = 54 Solving -6 + -6x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6x = 54 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 54 + 6 -6x = 54 + 6 Combine like terms: 54 + 6 = 60 -6x = 60 Divide each side by '-6'. x = -10 Simplifying x = -10
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