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Simplifying 3(x + -8) + -2(3x + -5) = 2 + -5x Reorder the terms: 3(-8 + x) + -2(3x + -5) = 2 + -5x (-8 * 3 + x * 3) + -2(3x + -5) = 2 + -5x (-24 + 3x) + -2(3x + -5) = 2 + -5x Reorder the terms: -24 + 3x + -2(-5 + 3x) = 2 + -5x -24 + 3x + (-5 * -2 + 3x * -2) = 2 + -5x -24 + 3x + (10 + -6x) = 2 + -5x Reorder the terms: -24 + 10 + 3x + -6x = 2 + -5x Combine like terms: -24 + 10 = -14 -14 + 3x + -6x = 2 + -5x Combine like terms: 3x + -6x = -3x -14 + -3x = 2 + -5x Solving -14 + -3x = 2 + -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. -14 + -3x + 5x = 2 + -5x + 5x Combine like terms: -3x + 5x = 2x -14 + 2x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 2x = 2 + 0 -14 + 2x = 2 Add '14' to each side of the equation. -14 + 14 + 2x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 2 + 14 2x = 2 + 14 Combine like terms: 2 + 14 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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