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Simplifying 2x + -3(4x + 8) = 2(5 + x) Reorder the terms: 2x + -3(8 + 4x) = 2(5 + x) 2x + (8 * -3 + 4x * -3) = 2(5 + x) 2x + (-24 + -12x) = 2(5 + x) Reorder the terms: -24 + 2x + -12x = 2(5 + x) Combine like terms: 2x + -12x = -10x -24 + -10x = 2(5 + x) -24 + -10x = (5 * 2 + x * 2) -24 + -10x = (10 + 2x) Solving -24 + -10x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + -10x + -2x = 10 + 2x + -2x Combine like terms: -10x + -2x = -12x -24 + -12x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -12x = 10 + 0 -24 + -12x = 10 Add '24' to each side of the equation. -24 + 24 + -12x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -12x = 10 + 24 -12x = 10 + 24 Combine like terms: 10 + 24 = 34 -12x = 34 Divide each side by '-12'. x = -2.833333333 Simplifying x = -2.833333333
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