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Simplifying -4(x + 1) = 4x + -6 + 2(4x + 3) Reorder the terms: -4(1 + x) = 4x + -6 + 2(4x + 3) (1 * -4 + x * -4) = 4x + -6 + 2(4x + 3) (-4 + -4x) = 4x + -6 + 2(4x + 3) Reorder the terms: -4 + -4x = 4x + -6 + 2(3 + 4x) -4 + -4x = 4x + -6 + (3 * 2 + 4x * 2) -4 + -4x = 4x + -6 + (6 + 8x) Reorder the terms: -4 + -4x = -6 + 6 + 4x + 8x Combine like terms: -6 + 6 = 0 -4 + -4x = 0 + 4x + 8x -4 + -4x = 4x + 8x Combine like terms: 4x + 8x = 12x -4 + -4x = 12x Solving -4 + -4x = 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 = 12x + -12x Combine like terms: -4x + -12x = -16x -4 + -16x = 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -16x = 0 Add '4' to each side of the equation. -4 + 4 + -16x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 0 + 4 -16x = 0 + 4 Combine like terms: 0 + 4 = 4 -16x = 4 Divide each side by '-16'. x = -0.25 Simplifying x = -0.25
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