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