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Simplifying 32 + 6x = 2[-1x + 6] + -44 Reorder the terms: 32 + 6x = 2[6 + -1x] + -44 32 + 6x = [6 * 2 + -1x * 2] + -44 32 + 6x = [12 + -2x] + -44 Reorder the terms: 32 + 6x = 12 + -44 + -2x Combine like terms: 12 + -44 = -32 32 + 6x = -32 + -2x Solving 32 + 6x = -32 + -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. 32 + 6x + 2x = -32 + -2x + 2x Combine like terms: 6x + 2x = 8x 32 + 8x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + 8x = -32 + 0 32 + 8x = -32 Add '-32' to each side of the equation. 32 + -32 + 8x = -32 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -32 + -32 8x = -32 + -32 Combine like terms: -32 + -32 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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