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Simplifying 3x + 2(x + 3) = 2x + 13 Reorder the terms: 3x + 2(3 + x) = 2x + 13 3x + (3 * 2 + x * 2) = 2x + 13 3x + (6 + 2x) = 2x + 13 Reorder the terms: 6 + 3x + 2x = 2x + 13 Combine like terms: 3x + 2x = 5x 6 + 5x = 2x + 13 Reorder the terms: 6 + 5x = 13 + 2x Solving 6 + 5x = 13 + 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. 6 + 5x + -2x = 13 + 2x + -2x Combine like terms: 5x + -2x = 3x 6 + 3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 3x = 13 + 0 6 + 3x = 13 Add '-6' to each side of the equation. 6 + -6 + 3x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 13 + -6 3x = 13 + -6 Combine like terms: 13 + -6 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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