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Simplifying 13 = 3x + 2(-3x + 17) Reorder the terms: 13 = 3x + 2(17 + -3x) 13 = 3x + (17 * 2 + -3x * 2) 13 = 3x + (34 + -6x) Reorder the terms: 13 = 34 + 3x + -6x Combine like terms: 3x + -6x = -3x 13 = 34 + -3x Solving 13 = 34 + -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 + 3x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 3x = 34 + 0 13 + 3x = 34 Add '-13' to each side of the equation. 13 + -13 + 3x = 34 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 34 + -13 3x = 34 + -13 Combine like terms: 34 + -13 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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