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Simplifying -3x + 1 = 5x + -7 Reorder the terms: 1 + -3x = 5x + -7 Reorder the terms: 1 + -3x = -7 + 5x Solving 1 + -3x = -7 + 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 + -3x + -5x = -7 + 5x + -5x Combine like terms: -3x + -5x = -8x 1 + -8x = -7 + 5x + -5x Combine like terms: 5x + -5x = 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 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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