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Simplifying 7(x + 3) + -2(3x + 1) = 25 Reorder the terms: 7(3 + x) + -2(3x + 1) = 25 (3 * 7 + x * 7) + -2(3x + 1) = 25 (21 + 7x) + -2(3x + 1) = 25 Reorder the terms: 21 + 7x + -2(1 + 3x) = 25 21 + 7x + (1 * -2 + 3x * -2) = 25 21 + 7x + (-2 + -6x) = 25 Reorder the terms: 21 + -2 + 7x + -6x = 25 Combine like terms: 21 + -2 = 19 19 + 7x + -6x = 25 Combine like terms: 7x + -6x = 1x 19 + 1x = 25 Solving 19 + 1x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1x = 25 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 25 + -19 1x = 25 + -19 Combine like terms: 25 + -19 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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