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Simplifying 6(x + 4) + 32 = -2x Reorder the terms: 6(4 + x) + 32 = -2x (4 * 6 + x * 6) + 32 = -2x (24 + 6x) + 32 = -2x Reorder the terms: 24 + 32 + 6x = -2x Combine like terms: 24 + 32 = 56 56 + 6x = -2x Solving 56 + 6x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 56 + 6x + 2x = -2x + 2x Combine like terms: 6x + 2x = 8x 56 + 8x = -2x + 2x Combine like terms: -2x + 2x = 0 56 + 8x = 0 Add '-56' to each side of the equation. 56 + -56 + 8x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = 0 + -56 8x = 0 + -56 Combine like terms: 0 + -56 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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