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Simplifying 4x + -12 = 5x + 51 Reorder the terms: -12 + 4x = 5x + 51 Reorder the terms: -12 + 4x = 51 + 5x Solving -12 + 4x = 51 + 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 + 4x + -5x = 51 + 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = 51 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = 51 + 0 -12 + -1x = 51 Add '12' to each side of the equation. -12 + 12 + -1x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 51 + 12 -1x = 51 + 12 Combine like terms: 51 + 12 = 63 -1x = 63 Divide each side by '-1'. x = -63 Simplifying x = -63
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