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Simplifying 2x + 3(x + 1) = 2(x + 3) + 7 Reorder the terms: 2x + 3(1 + x) = 2(x + 3) + 7 2x + (1 * 3 + x * 3) = 2(x + 3) + 7 2x + (3 + 3x) = 2(x + 3) + 7 Reorder the terms: 3 + 2x + 3x = 2(x + 3) + 7 Combine like terms: 2x + 3x = 5x 3 + 5x = 2(x + 3) + 7 Reorder the terms: 3 + 5x = 2(3 + x) + 7 3 + 5x = (3 * 2 + x * 2) + 7 3 + 5x = (6 + 2x) + 7 Reorder the terms: 3 + 5x = 6 + 7 + 2x Combine like terms: 6 + 7 = 13 3 + 5x = 13 + 2x Solving 3 + 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. 3 + 5x + -2x = 13 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = 13 + 0 3 + 3x = 13 Add '-3' to each side of the equation. 3 + -3 + 3x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 13 + -3 3x = 13 + -3 Combine like terms: 13 + -3 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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