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Simplifying 54 + -9x = 9(54 + -7x) 54 + -9x = (54 * 9 + -7x * 9) 54 + -9x = (486 + -63x) Solving 54 + -9x = 486 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 54 + -9x + 63x = 486 + -63x + 63x Combine like terms: -9x + 63x = 54x 54 + 54x = 486 + -63x + 63x Combine like terms: -63x + 63x = 0 54 + 54x = 486 + 0 54 + 54x = 486 Add '-54' to each side of the equation. 54 + -54 + 54x = 486 + -54 Combine like terms: 54 + -54 = 0 0 + 54x = 486 + -54 54x = 486 + -54 Combine like terms: 486 + -54 = 432 54x = 432 Divide each side by '54'. x = 8 Simplifying x = 8
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