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Simplifying 4 + x + -12 = 5x + 7 Reorder the terms: 4 + -12 + x = 5x + 7 Combine like terms: 4 + -12 = -8 -8 + x = 5x + 7 Reorder the terms: -8 + x = 7 + 5x Solving -8 + x = 7 + 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. -8 + x + -5x = 7 + 5x + -5x Combine like terms: x + -5x = -4x -8 + -4x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -4x = 7 + 0 -8 + -4x = 7 Add '8' to each side of the equation. -8 + 8 + -4x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 7 + 8 -4x = 7 + 8 Combine like terms: 7 + 8 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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