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Simplifying 5x + -13 = -2x + 15 Reorder the terms: -13 + 5x = -2x + 15 Reorder the terms: -13 + 5x = 15 + -2x Solving -13 + 5x = 15 + -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. -13 + 5x + 2x = 15 + -2x + 2x Combine like terms: 5x + 2x = 7x -13 + 7x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 7x = 15 + 0 -13 + 7x = 15 Add '13' to each side of the equation. -13 + 13 + 7x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 15 + 13 7x = 15 + 13 Combine like terms: 15 + 13 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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