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Simplifying 6x + 13 = 35 + -3x Reorder the terms: 13 + 6x = 35 + -3x Solving 13 + 6x = 35 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + 6x + 3x = 35 + -3x + 3x Combine like terms: 6x + 3x = 9x 13 + 9x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 9x = 35 + 0 13 + 9x = 35 Add '-13' to each side of the equation. 13 + -13 + 9x = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 35 + -13 9x = 35 + -13 Combine like terms: 35 + -13 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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