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Simplifying 3(12x + -16) + -1(X + -24) = 5x + -18 Reorder the terms: 3(-16 + 12x) + -1(X + -24) = 5x + -18 (-16 * 3 + 12x * 3) + -1(X + -24) = 5x + -18 (-48 + 36x) + -1(X + -24) = 5x + -18 Reorder the terms: -48 + 36x + -1(-24 + X) = 5x + -18 -48 + 36x + (-24 * -1 + X * -1) = 5x + -18 -48 + 36x + (24 + -1X) = 5x + -18 Reorder the terms: -48 + 24 + -1X + 36x = 5x + -18 Combine like terms: -48 + 24 = -24 -24 + -1X + 36x = 5x + -18 Reorder the terms: -24 + -1X + 36x = -18 + 5x Solving -24 + -1X + 36x = -18 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -1X + 24 + 36x = -18 + 24 + 5x Reorder the terms: -24 + 24 + -1X + 36x = -18 + 24 + 5x Combine like terms: -24 + 24 = 0 0 + -1X + 36x = -18 + 24 + 5x -1X + 36x = -18 + 24 + 5x Combine like terms: -18 + 24 = 6 -1X + 36x = 6 + 5x Add '-36x' to each side of the equation. -1X + 36x + -36x = 6 + 5x + -36x Combine like terms: 36x + -36x = 0 -1X + 0 = 6 + 5x + -36x -1X = 6 + 5x + -36x Combine like terms: 5x + -36x = -31x -1X = 6 + -31x Divide each side by '-1'. X = -6 + 31x Simplifying X = -6 + 31x
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