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Simplifying -5x + -156 = -12x + 54 Reorder the terms: -156 + -5x = -12x + 54 Reorder the terms: -156 + -5x = 54 + -12x Solving -156 + -5x = 54 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -156 + -5x + 12x = 54 + -12x + 12x Combine like terms: -5x + 12x = 7x -156 + 7x = 54 + -12x + 12x Combine like terms: -12x + 12x = 0 -156 + 7x = 54 + 0 -156 + 7x = 54 Add '156' to each side of the equation. -156 + 156 + 7x = 54 + 156 Combine like terms: -156 + 156 = 0 0 + 7x = 54 + 156 7x = 54 + 156 Combine like terms: 54 + 156 = 210 7x = 210 Divide each side by '7'. x = 30 Simplifying x = 30
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