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Simplifying 3x + -12 = 5(12 + -1x) + -8 Reorder the terms: -12 + 3x = 5(12 + -1x) + -8 -12 + 3x = (12 * 5 + -1x * 5) + -8 -12 + 3x = (60 + -5x) + -8 Reorder the terms: -12 + 3x = 60 + -8 + -5x Combine like terms: 60 + -8 = 52 -12 + 3x = 52 + -5x Solving -12 + 3x = 52 + -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. -12 + 3x + 5x = 52 + -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = 52 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = 52 + 0 -12 + 8x = 52 Add '12' to each side of the equation. -12 + 12 + 8x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 52 + 12 8x = 52 + 12 Combine like terms: 52 + 12 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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