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Simplifying -8(x + 4) + 4x + 7 = 5x + 12 Reorder the terms: -8(4 + x) + 4x + 7 = 5x + 12 (4 * -8 + x * -8) + 4x + 7 = 5x + 12 (-32 + -8x) + 4x + 7 = 5x + 12 Reorder the terms: -32 + 7 + -8x + 4x = 5x + 12 Combine like terms: -32 + 7 = -25 -25 + -8x + 4x = 5x + 12 Combine like terms: -8x + 4x = -4x -25 + -4x = 5x + 12 Reorder the terms: -25 + -4x = 12 + 5x Solving -25 + -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. -25 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x -25 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + -9x = 12 + 0 -25 + -9x = 12 Add '25' to each side of the equation. -25 + 25 + -9x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + -9x = 12 + 25 -9x = 12 + 25 Combine like terms: 12 + 25 = 37 -9x = 37 Divide each side by '-9'. x = -4.111111111 Simplifying x = -4.111111111
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