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Simplifying -4(2x + 1) = -9x + -1(3x + -4) Reorder the terms: -4(1 + 2x) = -9x + -1(3x + -4) (1 * -4 + 2x * -4) = -9x + -1(3x + -4) (-4 + -8x) = -9x + -1(3x + -4) Reorder the terms: -4 + -8x = -9x + -1(-4 + 3x) -4 + -8x = -9x + (-4 * -1 + 3x * -1) -4 + -8x = -9x + (4 + -3x) Reorder the terms: -4 + -8x = 4 + -9x + -3x Combine like terms: -9x + -3x = -12x -4 + -8x = 4 + -12x Solving -4 + -8x = 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 + -8x + 12x = 4 + -12x + 12x Combine like terms: -8x + 12x = 4x -4 + 4x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 4x = 4 + 0 -4 + 4x = 4 Add '4' to each side of the equation. -4 + 4 + 4x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 4 + 4 4x = 4 + 4 Combine like terms: 4 + 4 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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