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Simplifying -4(2x + -1) + -9 = -3(3x + 1) Reorder the terms: -4(-1 + 2x) + -9 = -3(3x + 1) (-1 * -4 + 2x * -4) + -9 = -3(3x + 1) (4 + -8x) + -9 = -3(3x + 1) Reorder the terms: 4 + -9 + -8x = -3(3x + 1) Combine like terms: 4 + -9 = -5 -5 + -8x = -3(3x + 1) Reorder the terms: -5 + -8x = -3(1 + 3x) -5 + -8x = (1 * -3 + 3x * -3) -5 + -8x = (-3 + -9x) Solving -5 + -8x = -3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -5 + -8x + 9x = -3 + -9x + 9x Combine like terms: -8x + 9x = 1x -5 + 1x = -3 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + 1x = -3 + 0 -5 + 1x = -3 Add '5' to each side of the equation. -5 + 5 + 1x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -3 + 5 1x = -3 + 5 Combine like terms: -3 + 5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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