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Simplifying 3(x + 5) + -2(x + -7) + -6 = 0 Reorder the terms: 3(5 + x) + -2(x + -7) + -6 = 0 (5 * 3 + x * 3) + -2(x + -7) + -6 = 0 (15 + 3x) + -2(x + -7) + -6 = 0 Reorder the terms: 15 + 3x + -2(-7 + x) + -6 = 0 15 + 3x + (-7 * -2 + x * -2) + -6 = 0 15 + 3x + (14 + -2x) + -6 = 0 Reorder the terms: 15 + 14 + -6 + 3x + -2x = 0 Combine like terms: 15 + 14 = 29 29 + -6 + 3x + -2x = 0 Combine like terms: 29 + -6 = 23 23 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x 23 + 1x = 0 Solving 23 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 0 + -23 1x = 0 + -23 Combine like terms: 0 + -23 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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