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