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Simplifying 5x + 1 = -2x + -13 Reorder the terms: 1 + 5x = -2x + -13 Reorder the terms: 1 + 5x = -13 + -2x Solving 1 + 5x = -13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 5x + 2x = -13 + -2x + 2x Combine like terms: 5x + 2x = 7x 1 + 7x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 7x = -13 + 0 1 + 7x = -13 Add '-1' to each side of the equation. 1 + -1 + 7x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = -13 + -1 7x = -13 + -1 Combine like terms: -13 + -1 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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