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Simplifying 5x + 2 + -1(2 + -1x) = 3(7 + x) 5x + 2 + (2 * -1 + -1x * -1) = 3(7 + x) 5x + 2 + (-2 + 1x) = 3(7 + x) Reorder the terms: 2 + -2 + 5x + 1x = 3(7 + x) Combine like terms: 2 + -2 = 0 0 + 5x + 1x = 3(7 + x) 5x + 1x = 3(7 + x) Combine like terms: 5x + 1x = 6x 6x = 3(7 + x) 6x = (7 * 3 + x * 3) 6x = (21 + 3x) Solving 6x = 21 + 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. 6x + -3x = 21 + 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 3x = 21 + 0 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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