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Simplifying 5x + -12 = 4x + -5 Reorder the terms: -12 + 5x = 4x + -5 Reorder the terms: -12 + 5x = -5 + 4x Solving -12 + 5x = -5 + 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. -12 + 5x + -4x = -5 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = -5 + 0 -12 + 1x = -5 Add '12' to each side of the equation. -12 + 12 + 1x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -5 + 12 1x = -5 + 12 Combine like terms: -5 + 12 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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