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Simplifying 6(x + -4) + 7 = (-5) Reorder the terms: 6(-4 + x) + 7 = (-5) (-4 * 6 + x * 6) + 7 = (-5) (-24 + 6x) + 7 = (-5) Reorder the terms: -24 + 7 + 6x = (-5) Combine like terms: -24 + 7 = -17 -17 + 6x = (-5) -17 + 6x = -5 Solving -17 + 6x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = -5 + 17 6x = -5 + 17 Combine like terms: -5 + 17 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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