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Simplifying 2(2x + 1) + -3(4 + -3x) = 0 Reorder the terms: 2(1 + 2x) + -3(4 + -3x) = 0 (1 * 2 + 2x * 2) + -3(4 + -3x) = 0 (2 + 4x) + -3(4 + -3x) = 0 2 + 4x + (4 * -3 + -3x * -3) = 0 2 + 4x + (-12 + 9x) = 0 Reorder the terms: 2 + -12 + 4x + 9x = 0 Combine like terms: 2 + -12 = -10 -10 + 4x + 9x = 0 Combine like terms: 4x + 9x = 13x -10 + 13x = 0 Solving -10 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 13x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 0 + 10 13x = 0 + 10 Combine like terms: 0 + 10 = 10 13x = 10 Divide each side by '13'. x = 0.7692307692 Simplifying x = 0.7692307692
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