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Simplifying 7x + 9 = 10x + -6 Reorder the terms: 9 + 7x = 10x + -6 Reorder the terms: 9 + 7x = -6 + 10x Solving 9 + 7x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 7x + -10x = -6 + 10x + -10x Combine like terms: 7x + -10x = -3x 9 + -3x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -3x = -6 + 0 9 + -3x = -6 Add '-9' to each side of the equation. 9 + -9 + -3x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -6 + -9 -3x = -6 + -9 Combine like terms: -6 + -9 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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