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Simplifying -7y + x + -1 = 5x + 15 Reorder the terms: -1 + x + -7y = 5x + 15 Reorder the terms: -1 + x + -7y = 15 + 5x Solving -1 + x + -7y = 15 + 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. -1 + x + -5x + -7y = 15 + 5x + -5x Combine like terms: x + -5x = -4x -1 + -4x + -7y = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x + -7y = 15 + 0 -1 + -4x + -7y = 15 Add '1' to each side of the equation. -1 + -4x + 1 + -7y = 15 + 1 Reorder the terms: -1 + 1 + -4x + -7y = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -4x + -7y = 15 + 1 -4x + -7y = 15 + 1 Combine like terms: 15 + 1 = 16 -4x + -7y = 16 Add '7y' to each side of the equation. -4x + -7y + 7y = 16 + 7y Combine like terms: -7y + 7y = 0 -4x + 0 = 16 + 7y -4x = 16 + 7y Divide each side by '-4'. x = -4 + -1.75y Simplifying x = -4 + -1.75y
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