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Simplifying -8(x + 4) + 3x + 7 = 7x + 12 Reorder the terms: -8(4 + x) + 3x + 7 = 7x + 12 (4 * -8 + x * -8) + 3x + 7 = 7x + 12 (-32 + -8x) + 3x + 7 = 7x + 12 Reorder the terms: -32 + 7 + -8x + 3x = 7x + 12 Combine like terms: -32 + 7 = -25 -25 + -8x + 3x = 7x + 12 Combine like terms: -8x + 3x = -5x -25 + -5x = 7x + 12 Reorder the terms: -25 + -5x = 12 + 7x Solving -25 + -5x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -25 + -5x + -7x = 12 + 7x + -7x Combine like terms: -5x + -7x = -12x -25 + -12x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -25 + -12x = 12 + 0 -25 + -12x = 12 Add '25' to each side of the equation. -25 + 25 + -12x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + -12x = 12 + 25 -12x = 12 + 25 Combine like terms: 12 + 25 = 37 -12x = 37 Divide each side by '-12'. x = -3.083333333 Simplifying x = -3.083333333
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