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Simplifying 8x + 4x + -72 = 54 + -6x Reorder the terms: -72 + 8x + 4x = 54 + -6x Combine like terms: 8x + 4x = 12x -72 + 12x = 54 + -6x Solving -72 + 12x = 54 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -72 + 12x + 6x = 54 + -6x + 6x Combine like terms: 12x + 6x = 18x -72 + 18x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 -72 + 18x = 54 + 0 -72 + 18x = 54 Add '72' to each side of the equation. -72 + 72 + 18x = 54 + 72 Combine like terms: -72 + 72 = 0 0 + 18x = 54 + 72 18x = 54 + 72 Combine like terms: 54 + 72 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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