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Simplifying 3(x + -8) + 2 = 5x + 12 Reorder the terms: 3(-8 + x) + 2 = 5x + 12 (-8 * 3 + x * 3) + 2 = 5x + 12 (-24 + 3x) + 2 = 5x + 12 Reorder the terms: -24 + 2 + 3x = 5x + 12 Combine like terms: -24 + 2 = -22 -22 + 3x = 5x + 12 Reorder the terms: -22 + 3x = 12 + 5x Solving -22 + 3x = 12 + 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. -22 + 3x + -5x = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x -22 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + -2x = 12 + 0 -22 + -2x = 12 Add '22' to each side of the equation. -22 + 22 + -2x = 12 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = 12 + 22 -2x = 12 + 22 Combine like terms: 12 + 22 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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