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Simplifying 2(-5x + 3) + 7(3x + -1) = 0 Reorder the terms: 2(3 + -5x) + 7(3x + -1) = 0 (3 * 2 + -5x * 2) + 7(3x + -1) = 0 (6 + -10x) + 7(3x + -1) = 0 Reorder the terms: 6 + -10x + 7(-1 + 3x) = 0 6 + -10x + (-1 * 7 + 3x * 7) = 0 6 + -10x + (-7 + 21x) = 0 Reorder the terms: 6 + -7 + -10x + 21x = 0 Combine like terms: 6 + -7 = -1 -1 + -10x + 21x = 0 Combine like terms: -10x + 21x = 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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