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Simplifying 9 + 7(x + -3) = 11 + -9(x + -2) Reorder the terms: 9 + 7(-3 + x) = 11 + -9(x + -2) 9 + (-3 * 7 + x * 7) = 11 + -9(x + -2) 9 + (-21 + 7x) = 11 + -9(x + -2) Combine like terms: 9 + -21 = -12 -12 + 7x = 11 + -9(x + -2) Reorder the terms: -12 + 7x = 11 + -9(-2 + x) -12 + 7x = 11 + (-2 * -9 + x * -9) -12 + 7x = 11 + (18 + -9x) Combine like terms: 11 + 18 = 29 -12 + 7x = 29 + -9x Solving -12 + 7x = 29 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + 7x + 9x = 29 + -9x + 9x Combine like terms: 7x + 9x = 16x -12 + 16x = 29 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 16x = 29 + 0 -12 + 16x = 29 Add '12' to each side of the equation. -12 + 12 + 16x = 29 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 29 + 12 16x = 29 + 12 Combine like terms: 29 + 12 = 41 16x = 41 Divide each side by '16'. x = 2.5625 Simplifying x = 2.5625
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