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