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Simplifying -4(3x + 1) + 8x = 12x + 4 Reorder the terms: -4(1 + 3x) + 8x = 12x + 4 (1 * -4 + 3x * -4) + 8x = 12x + 4 (-4 + -12x) + 8x = 12x + 4 Combine like terms: -12x + 8x = -4x -4 + -4x = 12x + 4 Reorder the terms: -4 + -4x = 4 + 12x Solving -4 + -4x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + -4x + -12x = 4 + 12x + -12x Combine like terms: -4x + -12x = -16x -4 + -16x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -16x = 4 + 0 -4 + -16x = 4 Add '4' to each side of the equation. -4 + 4 + -16x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 4 + 4 -16x = 4 + 4 Combine like terms: 4 + 4 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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