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Simplifying 7x + -4 + 5x = 1 + 4x + 6x + -15 Reorder the terms: -4 + 7x + 5x = 1 + 4x + 6x + -15 Combine like terms: 7x + 5x = 12x -4 + 12x = 1 + 4x + 6x + -15 Reorder the terms: -4 + 12x = 1 + -15 + 4x + 6x Combine like terms: 1 + -15 = -14 -4 + 12x = -14 + 4x + 6x Combine like terms: 4x + 6x = 10x -4 + 12x = -14 + 10x Solving -4 + 12x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 12x + -10x = -14 + 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = -14 + 0 -4 + 2x = -14 Add '4' to each side of the equation. -4 + 4 + 2x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -14 + 4 2x = -14 + 4 Combine like terms: -14 + 4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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