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Simplifying 5x + -7 + 2x = 3x + -3 + 4x + -5 + x Reorder the terms: -7 + 5x + 2x = 3x + -3 + 4x + -5 + x Combine like terms: 5x + 2x = 7x -7 + 7x = 3x + -3 + 4x + -5 + x Reorder the terms: -7 + 7x = -3 + -5 + 3x + 4x + x Combine like terms: -3 + -5 = -8 -7 + 7x = -8 + 3x + 4x + x Combine like terms: 3x + 4x = 7x -7 + 7x = -8 + 7x + x Combine like terms: 7x + x = 8x -7 + 7x = -8 + 8x Solving -7 + 7x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 7x + -8x = -8 + 8x + -8x Combine like terms: 7x + -8x = -1x -7 + -1x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -1x = -8 + 0 -7 + -1x = -8 Add '7' to each side of the equation. -7 + 7 + -1x = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -8 + 7 -1x = -8 + 7 Combine like terms: -8 + 7 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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