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Simplifying 6 + 9(x + -7) = 2 + -7(x + -7) Reorder the terms: 6 + 9(-7 + x) = 2 + -7(x + -7) 6 + (-7 * 9 + x * 9) = 2 + -7(x + -7) 6 + (-63 + 9x) = 2 + -7(x + -7) Combine like terms: 6 + -63 = -57 -57 + 9x = 2 + -7(x + -7) Reorder the terms: -57 + 9x = 2 + -7(-7 + x) -57 + 9x = 2 + (-7 * -7 + x * -7) -57 + 9x = 2 + (49 + -7x) Combine like terms: 2 + 49 = 51 -57 + 9x = 51 + -7x Solving -57 + 9x = 51 + -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. -57 + 9x + 7x = 51 + -7x + 7x Combine like terms: 9x + 7x = 16x -57 + 16x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 -57 + 16x = 51 + 0 -57 + 16x = 51 Add '57' to each side of the equation. -57 + 57 + 16x = 51 + 57 Combine like terms: -57 + 57 = 0 0 + 16x = 51 + 57 16x = 51 + 57 Combine like terms: 51 + 57 = 108 16x = 108 Divide each side by '16'. x = 6.75 Simplifying x = 6.75
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