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Simplifying -1x + 12 = -5x + 36 Reorder the terms: 12 + -1x = -5x + 36 Reorder the terms: 12 + -1x = 36 + -5x Solving 12 + -1x = 36 + -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 + -1x + 5x = 36 + -5x + 5x Combine like terms: -1x + 5x = 4x 12 + 4x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 4x = 36 + 0 12 + 4x = 36 Add '-12' to each side of the equation. 12 + -12 + 4x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 36 + -12 4x = 36 + -12 Combine like terms: 36 + -12 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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