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Simplifying -1x + -5 + 4x = -7x + 6x + 15 Reorder the terms: -5 + -1x + 4x = -7x + 6x + 15 Combine like terms: -1x + 4x = 3x -5 + 3x = -7x + 6x + 15 Reorder the terms: -5 + 3x = 15 + -7x + 6x Combine like terms: -7x + 6x = -1x -5 + 3x = 15 + -1x Solving -5 + 3x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 3x + x = 15 + -1x + x Combine like terms: 3x + x = 4x -5 + 4x = 15 + -1x + x Combine like terms: -1x + x = 0 -5 + 4x = 15 + 0 -5 + 4x = 15 Add '5' to each side of the equation. -5 + 5 + 4x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 15 + 5 4x = 15 + 5 Combine like terms: 15 + 5 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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