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Simplifying -96 = 5x + 6(-2x + -9) Reorder the terms: -96 = 5x + 6(-9 + -2x) -96 = 5x + (-9 * 6 + -2x * 6) -96 = 5x + (-54 + -12x) Reorder the terms: -96 = -54 + 5x + -12x Combine like terms: 5x + -12x = -7x -96 = -54 + -7x Solving -96 = -54 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -96 + 7x = -54 + -7x + 7x Combine like terms: -7x + 7x = 0 -96 + 7x = -54 + 0 -96 + 7x = -54 Add '96' to each side of the equation. -96 + 96 + 7x = -54 + 96 Combine like terms: -96 + 96 = 0 0 + 7x = -54 + 96 7x = -54 + 96 Combine like terms: -54 + 96 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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