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Simplifying 15x + -10 = 6x + 35 Reorder the terms: -10 + 15x = 6x + 35 Reorder the terms: -10 + 15x = 35 + 6x Solving -10 + 15x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 15x + -6x = 35 + 6x + -6x Combine like terms: 15x + -6x = 9x -10 + 9x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 9x = 35 + 0 -10 + 9x = 35 Add '10' to each side of the equation. -10 + 10 + 9x = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 35 + 10 9x = 35 + 10 Combine like terms: 35 + 10 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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