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Simplifying 5x + 1 + -2x = 7x + -4 + x Reorder the terms: 1 + 5x + -2x = 7x + -4 + x Combine like terms: 5x + -2x = 3x 1 + 3x = 7x + -4 + x Reorder the terms: 1 + 3x = -4 + 7x + x Combine like terms: 7x + x = 8x 1 + 3x = -4 + 8x Solving 1 + 3x = -4 + 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. 1 + 3x + -8x = -4 + 8x + -8x Combine like terms: 3x + -8x = -5x 1 + -5x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -5x = -4 + 0 1 + -5x = -4 Add '-1' to each side of the equation. 1 + -1 + -5x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -4 + -1 -5x = -4 + -1 Combine like terms: -4 + -1 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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