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Simplifying 6(3x + -1) = 8x + -12(4 + -5x) Reorder the terms: 6(-1 + 3x) = 8x + -12(4 + -5x) (-1 * 6 + 3x * 6) = 8x + -12(4 + -5x) (-6 + 18x) = 8x + -12(4 + -5x) -6 + 18x = 8x + (4 * -12 + -5x * -12) -6 + 18x = 8x + (-48 + 60x) Reorder the terms: -6 + 18x = -48 + 8x + 60x Combine like terms: 8x + 60x = 68x -6 + 18x = -48 + 68x Solving -6 + 18x = -48 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. -6 + 18x + -68x = -48 + 68x + -68x Combine like terms: 18x + -68x = -50x -6 + -50x = -48 + 68x + -68x Combine like terms: 68x + -68x = 0 -6 + -50x = -48 + 0 -6 + -50x = -48 Add '6' to each side of the equation. -6 + 6 + -50x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -50x = -48 + 6 -50x = -48 + 6 Combine like terms: -48 + 6 = -42 -50x = -42 Divide each side by '-50'. x = 0.84 Simplifying x = 0.84
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