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Simplifying -4(x + 8) + 39 = 12 + -5x Reorder the terms: -4(8 + x) + 39 = 12 + -5x (8 * -4 + x * -4) + 39 = 12 + -5x (-32 + -4x) + 39 = 12 + -5x Reorder the terms: -32 + 39 + -4x = 12 + -5x Combine like terms: -32 + 39 = 7 7 + -4x = 12 + -5x Solving 7 + -4x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -4x + 5x = 12 + -5x + 5x Combine like terms: -4x + 5x = 1x 7 + 1x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 1x = 12 + 0 7 + 1x = 12 Add '-7' to each side of the equation. 7 + -7 + 1x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 12 + -7 1x = 12 + -7 Combine like terms: 12 + -7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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