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Simplifying 2(2x + 1) + -3(7 + -3x) = 0 Reorder the terms: 2(1 + 2x) + -3(7 + -3x) = 0 (1 * 2 + 2x * 2) + -3(7 + -3x) = 0 (2 + 4x) + -3(7 + -3x) = 0 2 + 4x + (7 * -3 + -3x * -3) = 0 2 + 4x + (-21 + 9x) = 0 Reorder the terms: 2 + -21 + 4x + 9x = 0 Combine like terms: 2 + -21 = -19 -19 + 4x + 9x = 0 Combine like terms: 4x + 9x = 13x -19 + 13x = 0 Solving -19 + 13x = 0 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 + 13x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 13x = 0 + 19 13x = 0 + 19 Combine like terms: 0 + 19 = 19 13x = 19 Divide each side by '13'. x = 1.461538462 Simplifying x = 1.461538462
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