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Simplifying 24x + -12(5x + 2) = 16(1 + -1x) Reorder the terms: 24x + -12(2 + 5x) = 16(1 + -1x) 24x + (2 * -12 + 5x * -12) = 16(1 + -1x) 24x + (-24 + -60x) = 16(1 + -1x) Reorder the terms: -24 + 24x + -60x = 16(1 + -1x) Combine like terms: 24x + -60x = -36x -24 + -36x = 16(1 + -1x) -24 + -36x = (1 * 16 + -1x * 16) -24 + -36x = (16 + -16x) Solving -24 + -36x = 16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -24 + -36x + 16x = 16 + -16x + 16x Combine like terms: -36x + 16x = -20x -24 + -20x = 16 + -16x + 16x Combine like terms: -16x + 16x = 0 -24 + -20x = 16 + 0 -24 + -20x = 16 Add '24' to each side of the equation. -24 + 24 + -20x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + -20x = 16 + 24 -20x = 16 + 24 Combine like terms: 16 + 24 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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