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Simplifying 32 = 6x + 7(-2x + -8) Reorder the terms: 32 = 6x + 7(-8 + -2x) 32 = 6x + (-8 * 7 + -2x * 7) 32 = 6x + (-56 + -14x) Reorder the terms: 32 = -56 + 6x + -14x Combine like terms: 6x + -14x = -8x 32 = -56 + -8x Solving 32 = -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 + 8x = -56 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 8x = -56 + 0 32 + 8x = -56 Add '-32' to each side of the equation. 32 + -32 + 8x = -56 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -56 + -32 8x = -56 + -32 Combine like terms: -56 + -32 = -88 8x = -88 Divide each side by '8'. x = -11 Simplifying x = -11
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