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Simplifying 5x + 7x + -4 = 12x + 8 + x Reorder the terms: -4 + 5x + 7x = 12x + 8 + x Combine like terms: 5x + 7x = 12x -4 + 12x = 12x + 8 + x Reorder the terms: -4 + 12x = 8 + 12x + x Combine like terms: 12x + x = 13x -4 + 12x = 8 + 13x Solving -4 + 12x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -4 + 12x + -13x = 8 + 13x + -13x Combine like terms: 12x + -13x = -1x -4 + -1x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -1x = 8 + 0 -4 + -1x = 8 Add '4' to each side of the equation. -4 + 4 + -1x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 8 + 4 -1x = 8 + 4 Combine like terms: 8 + 4 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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