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Simplifying 32 + 3x = -8(x + 7) Reorder the terms: 32 + 3x = -8(7 + x) 32 + 3x = (7 * -8 + x * -8) 32 + 3x = (-56 + -8x) Solving 32 + 3x = -56 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + 3x + 8x = -56 + -8x + 8x Combine like terms: 3x + 8x = 11x 32 + 11x = -56 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 11x = -56 + 0 32 + 11x = -56 Add '-32' to each side of the equation. 32 + -32 + 11x = -56 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = -56 + -32 11x = -56 + -32 Combine like terms: -56 + -32 = -88 11x = -88 Divide each side by '11'. x = -8 Simplifying x = -8
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