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Simplifying 4 + -2x + 6 = 10 + -9x + 7 Reorder the terms: 4 + 6 + -2x = 10 + -9x + 7 Combine like terms: 4 + 6 = 10 10 + -2x = 10 + -9x + 7 Reorder the terms: 10 + -2x = 10 + 7 + -9x Combine like terms: 10 + 7 = 17 10 + -2x = 17 + -9x Solving 10 + -2x = 17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10 + -2x + 9x = 17 + -9x + 9x Combine like terms: -2x + 9x = 7x 10 + 7x = 17 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 7x = 17 + 0 10 + 7x = 17 Add '-10' to each side of the equation. 10 + -10 + 7x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 17 + -10 7x = 17 + -10 Combine like terms: 17 + -10 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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