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Simplifying 6(2x + -9) + -6 = 6(x + 4) Reorder the terms: 6(-9 + 2x) + -6 = 6(x + 4) (-9 * 6 + 2x * 6) + -6 = 6(x + 4) (-54 + 12x) + -6 = 6(x + 4) Reorder the terms: -54 + -6 + 12x = 6(x + 4) Combine like terms: -54 + -6 = -60 -60 + 12x = 6(x + 4) Reorder the terms: -60 + 12x = 6(4 + x) -60 + 12x = (4 * 6 + x * 6) -60 + 12x = (24 + 6x) Solving -60 + 12x = 24 + 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. -60 + 12x + -6x = 24 + 6x + -6x Combine like terms: 12x + -6x = 6x -60 + 6x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 6x = 24 + 0 -60 + 6x = 24 Add '60' to each side of the equation. -60 + 60 + 6x = 24 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = 24 + 60 6x = 24 + 60 Combine like terms: 24 + 60 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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