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Simplifying 6(x + -9) = 2(6 + -8x) Reorder the terms: 6(-9 + x) = 2(6 + -8x) (-9 * 6 + x * 6) = 2(6 + -8x) (-54 + 6x) = 2(6 + -8x) -54 + 6x = (6 * 2 + -8x * 2) -54 + 6x = (12 + -16x) Solving -54 + 6x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -54 + 6x + 16x = 12 + -16x + 16x Combine like terms: 6x + 16x = 22x -54 + 22x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 -54 + 22x = 12 + 0 -54 + 22x = 12 Add '54' to each side of the equation. -54 + 54 + 22x = 12 + 54 Combine like terms: -54 + 54 = 0 0 + 22x = 12 + 54 22x = 12 + 54 Combine like terms: 12 + 54 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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