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Simplifying 6x + 10 = 35 + -9x Reorder the terms: 10 + 6x = 35 + -9x Solving 10 + 6x = 35 + -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 + 6x + 9x = 35 + -9x + 9x Combine like terms: 6x + 9x = 15x 10 + 15x = 35 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 15x = 35 + 0 10 + 15x = 35 Add '-10' to each side of the equation. 10 + -10 + 15x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = 35 + -10 15x = 35 + -10 Combine like terms: 35 + -10 = 25 15x = 25 Divide each side by '15'. x = 1.666666667 Simplifying x = 1.666666667
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