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Simplifying 7(2 + -3x) + -5(6 + x) = 0 (2 * 7 + -3x * 7) + -5(6 + x) = 0 (14 + -21x) + -5(6 + x) = 0 14 + -21x + (6 * -5 + x * -5) = 0 14 + -21x + (-30 + -5x) = 0 Reorder the terms: 14 + -30 + -21x + -5x = 0 Combine like terms: 14 + -30 = -16 -16 + -21x + -5x = 0 Combine like terms: -21x + -5x = -26x -16 + -26x = 0 Solving -16 + -26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -26x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -26x = 0 + 16 -26x = 0 + 16 Combine like terms: 0 + 16 = 16 -26x = 16 Divide each side by '-26'. x = -0.6153846154 Simplifying x = -0.6153846154
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