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Simplifying 1008 = 2x + -4(x + 8) Reorder the terms: 1008 = 2x + -4(8 + x) 1008 = 2x + (8 * -4 + x * -4) 1008 = 2x + (-32 + -4x) Reorder the terms: 1008 = -32 + 2x + -4x Combine like terms: 2x + -4x = -2x 1008 = -32 + -2x Solving 1008 = -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. 1008 + 2x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 1008 + 2x = -32 + 0 1008 + 2x = -32 Add '-1008' to each side of the equation. 1008 + -1008 + 2x = -32 + -1008 Combine like terms: 1008 + -1008 = 0 0 + 2x = -32 + -1008 2x = -32 + -1008 Combine like terms: -32 + -1008 = -1040 2x = -1040 Divide each side by '2'. x = -520 Simplifying x = -520
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