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Simplifying 5(x + 7) + 11 = 3(x + -6) Reorder the terms: 5(7 + x) + 11 = 3(x + -6) (7 * 5 + x * 5) + 11 = 3(x + -6) (35 + 5x) + 11 = 3(x + -6) Reorder the terms: 35 + 11 + 5x = 3(x + -6) Combine like terms: 35 + 11 = 46 46 + 5x = 3(x + -6) Reorder the terms: 46 + 5x = 3(-6 + x) 46 + 5x = (-6 * 3 + x * 3) 46 + 5x = (-18 + 3x) Solving 46 + 5x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 46 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x 46 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + 2x = -18 + 0 46 + 2x = -18 Add '-46' to each side of the equation. 46 + -46 + 2x = -18 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = -18 + -46 2x = -18 + -46 Combine like terms: -18 + -46 = -64 2x = -64 Divide each side by '2'. x = -32 Simplifying x = -32
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