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Simplifying 3(12x + -16) + -1(1x + -24) = 5x + -18 Reorder the terms: 3(-16 + 12x) + -1(1x + -24) = 5x + -18 (-16 * 3 + 12x * 3) + -1(1x + -24) = 5x + -18 (-48 + 36x) + -1(1x + -24) = 5x + -18 Reorder the terms: -48 + 36x + -1(-24 + 1x) = 5x + -18 -48 + 36x + (-24 * -1 + 1x * -1) = 5x + -18 -48 + 36x + (24 + -1x) = 5x + -18 Reorder the terms: -48 + 24 + 36x + -1x = 5x + -18 Combine like terms: -48 + 24 = -24 -24 + 36x + -1x = 5x + -18 Combine like terms: 36x + -1x = 35x -24 + 35x = 5x + -18 Reorder the terms: -24 + 35x = -18 + 5x Solving -24 + 35x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 35x + -5x = -18 + 5x + -5x Combine like terms: 35x + -5x = 30x -24 + 30x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 30x = -18 + 0 -24 + 30x = -18 Add '24' to each side of the equation. -24 + 24 + 30x = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 30x = -18 + 24 30x = -18 + 24 Combine like terms: -18 + 24 = 6 30x = 6 Divide each side by '30'. x = 0.2 Simplifying x = 0.2
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