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Simplifying 6(x + 3) + -1(x + -7) = 0 Reorder the terms: 6(3 + x) + -1(x + -7) = 0 (3 * 6 + x * 6) + -1(x + -7) = 0 (18 + 6x) + -1(x + -7) = 0 Reorder the terms: 18 + 6x + -1(-7 + x) = 0 18 + 6x + (-7 * -1 + x * -1) = 0 18 + 6x + (7 + -1x) = 0 Reorder the terms: 18 + 7 + 6x + -1x = 0 Combine like terms: 18 + 7 = 25 25 + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x 25 + 5x = 0 Solving 25 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 0 + -25 5x = 0 + -25 Combine like terms: 0 + -25 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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