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Simplifying 13 + -7x = -5x + 1 + -2 Reorder the terms: 13 + -7x = 1 + -2 + -5x Combine like terms: 1 + -2 = -1 13 + -7x = -1 + -5x Solving 13 + -7x = -1 + -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. 13 + -7x + 5x = -1 + -5x + 5x Combine like terms: -7x + 5x = -2x 13 + -2x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + -2x = -1 + 0 13 + -2x = -1 Add '-13' to each side of the equation. 13 + -13 + -2x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -1 + -13 -2x = -1 + -13 Combine like terms: -1 + -13 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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