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Simplifying 9(x + -6) = 7(x + -8) Reorder the terms: 9(-6 + x) = 7(x + -8) (-6 * 9 + x * 9) = 7(x + -8) (-54 + 9x) = 7(x + -8) Reorder the terms: -54 + 9x = 7(-8 + x) -54 + 9x = (-8 * 7 + x * 7) -54 + 9x = (-56 + 7x) Solving -54 + 9x = -56 + 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. -54 + 9x + -7x = -56 + 7x + -7x Combine like terms: 9x + -7x = 2x -54 + 2x = -56 + 7x + -7x Combine like terms: 7x + -7x = 0 -54 + 2x = -56 + 0 -54 + 2x = -56 Add '54' to each side of the equation. -54 + 54 + 2x = -56 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = -56 + 54 2x = -56 + 54 Combine like terms: -56 + 54 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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