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Simplifying 3(2x + 9) + -13 = 2(x + 3) Reorder the terms: 3(9 + 2x) + -13 = 2(x + 3) (9 * 3 + 2x * 3) + -13 = 2(x + 3) (27 + 6x) + -13 = 2(x + 3) Reorder the terms: 27 + -13 + 6x = 2(x + 3) Combine like terms: 27 + -13 = 14 14 + 6x = 2(x + 3) Reorder the terms: 14 + 6x = 2(3 + x) 14 + 6x = (3 * 2 + x * 2) 14 + 6x = (6 + 2x) Solving 14 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x 14 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 4x = 6 + 0 14 + 4x = 6 Add '-14' to each side of the equation. 14 + -14 + 4x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 6 + -14 4x = 6 + -14 Combine like terms: 6 + -14 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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