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Simplifying 2x + 15 + 3x + -8 = 7x + -13 Reorder the terms: 15 + -8 + 2x + 3x = 7x + -13 Combine like terms: 15 + -8 = 7 7 + 2x + 3x = 7x + -13 Combine like terms: 2x + 3x = 5x 7 + 5x = 7x + -13 Reorder the terms: 7 + 5x = -13 + 7x Solving 7 + 5x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 5x + -7x = -13 + 7x + -7x Combine like terms: 5x + -7x = -2x 7 + -2x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -2x = -13 + 0 7 + -2x = -13 Add '-7' to each side of the equation. 7 + -7 + -2x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -13 + -7 -2x = -13 + -7 Combine like terms: -13 + -7 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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