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