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Simplifying 54 + 6x + 4(54 + -3x) = 180 54 + 6x + (54 * 4 + -3x * 4) = 180 54 + 6x + (216 + -12x) = 180 Reorder the terms: 54 + 216 + 6x + -12x = 180 Combine like terms: 54 + 216 = 270 270 + 6x + -12x = 180 Combine like terms: 6x + -12x = -6x 270 + -6x = 180 Solving 270 + -6x = 180 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 = 180 + -270 Combine like terms: 270 + -270 = 0 0 + -6x = 180 + -270 -6x = 180 + -270 Combine like terms: 180 + -270 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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