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Simplifying 10x + 9 = 15x + -6 Reorder the terms: 9 + 10x = 15x + -6 Reorder the terms: 9 + 10x = -6 + 15x Solving 9 + 10x = -6 + 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. 9 + 10x + -15x = -6 + 15x + -15x Combine like terms: 10x + -15x = -5x 9 + -5x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -5x = -6 + 0 9 + -5x = -6 Add '-9' to each side of the equation. 9 + -9 + -5x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -6 + -9 -5x = -6 + -9 Combine like terms: -6 + -9 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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