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Simplifying 11 + -1(3x + -7) = 12 + -5(x + 2) Reorder the terms: 11 + -1(-7 + 3x) = 12 + -5(x + 2) 11 + (-7 * -1 + 3x * -1) = 12 + -5(x + 2) 11 + (7 + -3x) = 12 + -5(x + 2) Combine like terms: 11 + 7 = 18 18 + -3x = 12 + -5(x + 2) Reorder the terms: 18 + -3x = 12 + -5(2 + x) 18 + -3x = 12 + (2 * -5 + x * -5) 18 + -3x = 12 + (-10 + -5x) Combine like terms: 12 + -10 = 2 18 + -3x = 2 + -5x Solving 18 + -3x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 18 + -3x + 5x = 2 + -5x + 5x Combine like terms: -3x + 5x = 2x 18 + 2x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 2x = 2 + 0 18 + 2x = 2 Add '-18' to each side of the equation. 18 + -18 + 2x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 2 + -18 2x = 2 + -18 Combine like terms: 2 + -18 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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