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Simplifying 6x + 32 = -5(x + -2) Reorder the terms: 32 + 6x = -5(x + -2) Reorder the terms: 32 + 6x = -5(-2 + x) 32 + 6x = (-2 * -5 + x * -5) 32 + 6x = (10 + -5x) Solving 32 + 6x = 10 + -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. 32 + 6x + 5x = 10 + -5x + 5x Combine like terms: 6x + 5x = 11x 32 + 11x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 32 + 11x = 10 + 0 32 + 11x = 10 Add '-32' to each side of the equation. 32 + -32 + 11x = 10 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = 10 + -32 11x = 10 + -32 Combine like terms: 10 + -32 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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