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Simplifying 5x + -1 + 7x = 4x + -7 Reorder the terms: -1 + 5x + 7x = 4x + -7 Combine like terms: 5x + 7x = 12x -1 + 12x = 4x + -7 Reorder the terms: -1 + 12x = -7 + 4x Solving -1 + 12x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 12x + -4x = -7 + 4x + -4x Combine like terms: 12x + -4x = 8x -1 + 8x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 8x = -7 + 0 -1 + 8x = -7 Add '1' to each side of the equation. -1 + 1 + 8x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -7 + 1 8x = -7 + 1 Combine like terms: -7 + 1 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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