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Simplifying -5x + 1 = -4x + 12 Reorder the terms: 1 + -5x = -4x + 12 Reorder the terms: 1 + -5x = 12 + -4x Solving 1 + -5x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + -5x + 4x = 12 + -4x + 4x Combine like terms: -5x + 4x = -1x 1 + -1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + -1x = 12 + 0 1 + -1x = 12 Add '-1' to each side of the equation. 1 + -1 + -1x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 12 + -1 -1x = 12 + -1 Combine like terms: 12 + -1 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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