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Simplifying -32 = 7x + -2(4x + 12) Reorder the terms: -32 = 7x + -2(12 + 4x) -32 = 7x + (12 * -2 + 4x * -2) -32 = 7x + (-24 + -8x) Reorder the terms: -32 = -24 + 7x + -8x Combine like terms: 7x + -8x = -1x -32 = -24 + -1x Solving -32 = -24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -32 + x = -24 + -1x + x Combine like terms: -1x + x = 0 -32 + x = -24 + 0 -32 + x = -24 Add '32' to each side of the equation. -32 + 32 + x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + x = -24 + 32 x = -24 + 32 Combine like terms: -24 + 32 = 8 x = 8 Simplifying x = 8
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