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Simplifying 7(x + -7) = 6(x + -9) Reorder the terms: 7(-7 + x) = 6(x + -9) (-7 * 7 + x * 7) = 6(x + -9) (-49 + 7x) = 6(x + -9) Reorder the terms: -49 + 7x = 6(-9 + x) -49 + 7x = (-9 * 6 + x * 6) -49 + 7x = (-54 + 6x) Solving -49 + 7x = -54 + 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. -49 + 7x + -6x = -54 + 6x + -6x Combine like terms: 7x + -6x = 1x -49 + 1x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 1x = -54 + 0 -49 + 1x = -54 Add '49' to each side of the equation. -49 + 49 + 1x = -54 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = -54 + 49 1x = -54 + 49 Combine like terms: -54 + 49 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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