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Simplifying 2(x + 5) + 6 = -3(3 + x) Reorder the terms: 2(5 + x) + 6 = -3(3 + x) (5 * 2 + x * 2) + 6 = -3(3 + x) (10 + 2x) + 6 = -3(3 + x) Reorder the terms: 10 + 6 + 2x = -3(3 + x) Combine like terms: 10 + 6 = 16 16 + 2x = -3(3 + x) 16 + 2x = (3 * -3 + x * -3) 16 + 2x = (-9 + -3x) Solving 16 + 2x = -9 + -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. 16 + 2x + 3x = -9 + -3x + 3x Combine like terms: 2x + 3x = 5x 16 + 5x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 5x = -9 + 0 16 + 5x = -9 Add '-16' to each side of the equation. 16 + -16 + 5x = -9 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = -9 + -16 5x = -9 + -16 Combine like terms: -9 + -16 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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