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Simplifying 2(7 + 2x) + 3(3x + -4) = 0 (7 * 2 + 2x * 2) + 3(3x + -4) = 0 (14 + 4x) + 3(3x + -4) = 0 Reorder the terms: 14 + 4x + 3(-4 + 3x) = 0 14 + 4x + (-4 * 3 + 3x * 3) = 0 14 + 4x + (-12 + 9x) = 0 Reorder the terms: 14 + -12 + 4x + 9x = 0 Combine like terms: 14 + -12 = 2 2 + 4x + 9x = 0 Combine like terms: 4x + 9x = 13x 2 + 13x = 0 Solving 2 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 0 + -2 13x = 0 + -2 Combine like terms: 0 + -2 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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