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Simplifying 3x + 54 + -3x + 6x + 4(54 + -3x) = 0 3x + 54 + -3x + 6x + (54 * 4 + -3x * 4) = 0 3x + 54 + -3x + 6x + (216 + -12x) = 0 Reorder the terms: 54 + 216 + 3x + -3x + 6x + -12x = 0 Combine like terms: 54 + 216 = 270 270 + 3x + -3x + 6x + -12x = 0 Combine like terms: 3x + -3x = 0 270 + 0 + 6x + -12x = 0 270 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 270 + -6x = 0 Solving 270 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + -270 + -6x = 0 + -270 Combine like terms: 270 + -270 = 0 0 + -6x = 0 + -270 -6x = 0 + -270 Combine like terms: 0 + -270 = -270 -6x = -270 Divide each side by '-6'. x = 45 Simplifying x = 45
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