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Simplifying 2x + 32 = -6(x + -4) Reorder the terms: 32 + 2x = -6(x + -4) Reorder the terms: 32 + 2x = -6(-4 + x) 32 + 2x = (-4 * -6 + x * -6) 32 + 2x = (24 + -6x) Solving 32 + 2x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 32 + 2x + 6x = 24 + -6x + 6x Combine like terms: 2x + 6x = 8x 32 + 8x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + 8x = 24 + 0 32 + 8x = 24 Add '-32' to each side of the equation. 32 + -32 + 8x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = 24 + -32 8x = 24 + -32 Combine like terms: 24 + -32 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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