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Simplifying -462 = 6(9x + 4) Reorder the terms: -462 = 6(4 + 9x) -462 = (4 * 6 + 9x * 6) -462 = (24 + 54x) Solving -462 = 24 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -462 + -54x = 24 + 54x + -54x Combine like terms: 54x + -54x = 0 -462 + -54x = 24 + 0 -462 + -54x = 24 Add '462' to each side of the equation. -462 + 462 + -54x = 24 + 462 Combine like terms: -462 + 462 = 0 0 + -54x = 24 + 462 -54x = 24 + 462 Combine like terms: 24 + 462 = 486 -54x = 486 Divide each side by '-54'. x = -9 Simplifying x = -9
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