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Simplifying 2(3x + -5) + -12 = 3x + 8 Reorder the terms: 2(-5 + 3x) + -12 = 3x + 8 (-5 * 2 + 3x * 2) + -12 = 3x + 8 (-10 + 6x) + -12 = 3x + 8 Reorder the terms: -10 + -12 + 6x = 3x + 8 Combine like terms: -10 + -12 = -22 -22 + 6x = 3x + 8 Reorder the terms: -22 + 6x = 8 + 3x Solving -22 + 6x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + 6x + -3x = 8 + 3x + -3x Combine like terms: 6x + -3x = 3x -22 + 3x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 3x = 8 + 0 -22 + 3x = 8 Add '22' to each side of the equation. -22 + 22 + 3x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 8 + 22 3x = 8 + 22 Combine like terms: 8 + 22 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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