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Simplifying 32 + x = -6x + -1(4 + 5x) 32 + x = -6x + (4 * -1 + 5x * -1) 32 + x = -6x + (-4 + -5x) Reorder the terms: 32 + x = -4 + -6x + -5x Combine like terms: -6x + -5x = -11x 32 + x = -4 + -11x Solving 32 + x = -4 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 32 + x + 11x = -4 + -11x + 11x Combine like terms: x + 11x = 12x 32 + 12x = -4 + -11x + 11x Combine like terms: -11x + 11x = 0 32 + 12x = -4 + 0 32 + 12x = -4 Add '-32' to each side of the equation. 32 + -32 + 12x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 12x = -4 + -32 12x = -4 + -32 Combine like terms: -4 + -32 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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