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Simplifying -12(x + 3) = -9(1 + 7x) Reorder the terms: -12(3 + x) = -9(1 + 7x) (3 * -12 + x * -12) = -9(1 + 7x) (-36 + -12x) = -9(1 + 7x) -36 + -12x = (1 * -9 + 7x * -9) -36 + -12x = (-9 + -63x) Solving -36 + -12x = -9 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. -36 + -12x + 63x = -9 + -63x + 63x Combine like terms: -12x + 63x = 51x -36 + 51x = -9 + -63x + 63x Combine like terms: -63x + 63x = 0 -36 + 51x = -9 + 0 -36 + 51x = -9 Add '36' to each side of the equation. -36 + 36 + 51x = -9 + 36 Combine like terms: -36 + 36 = 0 0 + 51x = -9 + 36 51x = -9 + 36 Combine like terms: -9 + 36 = 27 51x = 27 Divide each side by '51'. x = 0.5294117647 Simplifying x = 0.5294117647
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