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Simplifying 5(6 + -1x) + -3(-6 + -7x) = 0 (6 * 5 + -1x * 5) + -3(-6 + -7x) = 0 (30 + -5x) + -3(-6 + -7x) = 0 30 + -5x + (-6 * -3 + -7x * -3) = 0 30 + -5x + (18 + 21x) = 0 Reorder the terms: 30 + 18 + -5x + 21x = 0 Combine like terms: 30 + 18 = 48 48 + -5x + 21x = 0 Combine like terms: -5x + 21x = 16x 48 + 16x = 0 Solving 48 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 16x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 16x = 0 + -48 16x = 0 + -48 Combine like terms: 0 + -48 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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