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Simplifying 4(9x + -1) = -3(7x + -4) Reorder the terms: 4(-1 + 9x) = -3(7x + -4) (-1 * 4 + 9x * 4) = -3(7x + -4) (-4 + 36x) = -3(7x + -4) Reorder the terms: -4 + 36x = -3(-4 + 7x) -4 + 36x = (-4 * -3 + 7x * -3) -4 + 36x = (12 + -21x) Solving -4 + 36x = 12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -4 + 36x + 21x = 12 + -21x + 21x Combine like terms: 36x + 21x = 57x -4 + 57x = 12 + -21x + 21x Combine like terms: -21x + 21x = 0 -4 + 57x = 12 + 0 -4 + 57x = 12 Add '4' to each side of the equation. -4 + 4 + 57x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 57x = 12 + 4 57x = 12 + 4 Combine like terms: 12 + 4 = 16 57x = 16 Divide each side by '57'. x = 0.2807017544 Simplifying x = 0.2807017544
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