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