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Simplifying 5(x + 3) + -1(2x + -6) = 0 Reorder the terms: 5(3 + x) + -1(2x + -6) = 0 (3 * 5 + x * 5) + -1(2x + -6) = 0 (15 + 5x) + -1(2x + -6) = 0 Reorder the terms: 15 + 5x + -1(-6 + 2x) = 0 15 + 5x + (-6 * -1 + 2x * -1) = 0 15 + 5x + (6 + -2x) = 0 Reorder the terms: 15 + 6 + 5x + -2x = 0 Combine like terms: 15 + 6 = 21 21 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 21 + 3x = 0 Solving 21 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 0 + -21 3x = 0 + -21 Combine like terms: 0 + -21 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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