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Simplifying 3(x + 5) + 2(4x + -7) = 0 Reorder the terms: 3(5 + x) + 2(4x + -7) = 0 (5 * 3 + x * 3) + 2(4x + -7) = 0 (15 + 3x) + 2(4x + -7) = 0 Reorder the terms: 15 + 3x + 2(-7 + 4x) = 0 15 + 3x + (-7 * 2 + 4x * 2) = 0 15 + 3x + (-14 + 8x) = 0 Reorder the terms: 15 + -14 + 3x + 8x = 0 Combine like terms: 15 + -14 = 1 1 + 3x + 8x = 0 Combine like terms: 3x + 8x = 11x 1 + 11x = 0 Solving 1 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 0 + -1 11x = 0 + -1 Combine like terms: 0 + -1 = -1 11x = -1 Divide each side by '11'. x = -0.09090909091 Simplifying x = -0.09090909091
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