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Simplifying 10x + 15 = 7x + 10 Reorder the terms: 15 + 10x = 7x + 10 Reorder the terms: 15 + 10x = 10 + 7x Solving 15 + 10x = 10 + 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. 15 + 10x + -7x = 10 + 7x + -7x Combine like terms: 10x + -7x = 3x 15 + 3x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 3x = 10 + 0 15 + 3x = 10 Add '-15' to each side of the equation. 15 + -15 + 3x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 10 + -15 3x = 10 + -15 Combine like terms: 10 + -15 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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