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Simplifying 7x + 4 + -1(2x + 7) + 3(4 + -1x) = 15 Reorder the terms: 7x + 4 + -1(7 + 2x) + 3(4 + -1x) = 15 7x + 4 + (7 * -1 + 2x * -1) + 3(4 + -1x) = 15 7x + 4 + (-7 + -2x) + 3(4 + -1x) = 15 7x + 4 + -7 + -2x + (4 * 3 + -1x * 3) = 15 7x + 4 + -7 + -2x + (12 + -3x) = 15 Reorder the terms: 4 + -7 + 12 + 7x + -2x + -3x = 15 Combine like terms: 4 + -7 = -3 -3 + 12 + 7x + -2x + -3x = 15 Combine like terms: -3 + 12 = 9 9 + 7x + -2x + -3x = 15 Combine like terms: 7x + -2x = 5x 9 + 5x + -3x = 15 Combine like terms: 5x + -3x = 2x 9 + 2x = 15 Solving 9 + 2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 15 + -9 2x = 15 + -9 Combine like terms: 15 + -9 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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