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Simplifying 10x + 15 = 6.5x + -13 Reorder the terms: 15 + 10x = 6.5x + -13 Reorder the terms: 15 + 10x = -13 + 6.5x Solving 15 + 10x = -13 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 15 + 10x + -6.5x = -13 + 6.5x + -6.5x Combine like terms: 10x + -6.5x = 3.5x 15 + 3.5x = -13 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 15 + 3.5x = -13 + 0.0 15 + 3.5x = -13 Add '-15' to each side of the equation. 15 + -15 + 3.5x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 3.5x = -13 + -15 3.5x = -13 + -15 Combine like terms: -13 + -15 = -28 3.5x = -28 Divide each side by '3.5'. x = -8 Simplifying x = -8
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