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Simplifying 6(x + -9) + 6x = 6(x + 6) Reorder the terms: 6(-9 + x) + 6x = 6(x + 6) (-9 * 6 + x * 6) + 6x = 6(x + 6) (-54 + 6x) + 6x = 6(x + 6) Combine like terms: 6x + 6x = 12x -54 + 12x = 6(x + 6) Reorder the terms: -54 + 12x = 6(6 + x) -54 + 12x = (6 * 6 + x * 6) -54 + 12x = (36 + 6x) Solving -54 + 12x = 36 + 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. -54 + 12x + -6x = 36 + 6x + -6x Combine like terms: 12x + -6x = 6x -54 + 6x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -54 + 6x = 36 + 0 -54 + 6x = 36 Add '54' to each side of the equation. -54 + 54 + 6x = 36 + 54 Combine like terms: -54 + 54 = 0 0 + 6x = 36 + 54 6x = 36 + 54 Combine like terms: 36 + 54 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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