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Simplifying -5(x + -6) + -2(x + 8) = 0 Reorder the terms: -5(-6 + x) + -2(x + 8) = 0 (-6 * -5 + x * -5) + -2(x + 8) = 0 (30 + -5x) + -2(x + 8) = 0 Reorder the terms: 30 + -5x + -2(8 + x) = 0 30 + -5x + (8 * -2 + x * -2) = 0 30 + -5x + (-16 + -2x) = 0 Reorder the terms: 30 + -16 + -5x + -2x = 0 Combine like terms: 30 + -16 = 14 14 + -5x + -2x = 0 Combine like terms: -5x + -2x = -7x 14 + -7x = 0 Solving 14 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 0 + -14 -7x = 0 + -14 Combine like terms: 0 + -14 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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