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Simplifying 2(x + -5) + -12 = 8 + -3x Reorder the terms: 2(-5 + x) + -12 = 8 + -3x (-5 * 2 + x * 2) + -12 = 8 + -3x (-10 + 2x) + -12 = 8 + -3x Reorder the terms: -10 + -12 + 2x = 8 + -3x Combine like terms: -10 + -12 = -22 -22 + 2x = 8 + -3x Solving -22 + 2x = 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 + 2x + 3x = 8 + -3x + 3x Combine like terms: 2x + 3x = 5x -22 + 5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -22 + 5x = 8 + 0 -22 + 5x = 8 Add '22' to each side of the equation. -22 + 22 + 5x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 8 + 22 5x = 8 + 22 Combine like terms: 8 + 22 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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