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Simplifying -4(3x + -4) + 8x = 2x + -9 Reorder the terms: -4(-4 + 3x) + 8x = 2x + -9 (-4 * -4 + 3x * -4) + 8x = 2x + -9 (16 + -12x) + 8x = 2x + -9 Combine like terms: -12x + 8x = -4x 16 + -4x = 2x + -9 Reorder the terms: 16 + -4x = -9 + 2x Solving 16 + -4x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + -4x + -2x = -9 + 2x + -2x Combine like terms: -4x + -2x = -6x 16 + -6x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -6x = -9 + 0 16 + -6x = -9 Add '-16' to each side of the equation. 16 + -16 + -6x = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = -9 + -16 -6x = -9 + -16 Combine like terms: -9 + -16 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667
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