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Simplifying 3(x + 7) + -2(3 + -1x) = 35 Reorder the terms: 3(7 + x) + -2(3 + -1x) = 35 (7 * 3 + x * 3) + -2(3 + -1x) = 35 (21 + 3x) + -2(3 + -1x) = 35 21 + 3x + (3 * -2 + -1x * -2) = 35 21 + 3x + (-6 + 2x) = 35 Reorder the terms: 21 + -6 + 3x + 2x = 35 Combine like terms: 21 + -6 = 15 15 + 3x + 2x = 35 Combine like terms: 3x + 2x = 5x 15 + 5x = 35 Solving 15 + 5x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 35 + -15 5x = 35 + -15 Combine like terms: 35 + -15 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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