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Simplifying 4x + 6x + -72 = 54 + -8x Reorder the terms: -72 + 4x + 6x = 54 + -8x Combine like terms: 4x + 6x = 10x -72 + 10x = 54 + -8x Solving -72 + 10x = 54 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -72 + 10x + 8x = 54 + -8x + 8x Combine like terms: 10x + 8x = 18x -72 + 18x = 54 + -8x + 8x Combine like terms: -8x + 8x = 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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