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Simplifying 2(x + -5) + 3(2x + 6) = 0 Reorder the terms: 2(-5 + x) + 3(2x + 6) = 0 (-5 * 2 + x * 2) + 3(2x + 6) = 0 (-10 + 2x) + 3(2x + 6) = 0 Reorder the terms: -10 + 2x + 3(6 + 2x) = 0 -10 + 2x + (6 * 3 + 2x * 3) = 0 -10 + 2x + (18 + 6x) = 0 Reorder the terms: -10 + 18 + 2x + 6x = 0 Combine like terms: -10 + 18 = 8 8 + 2x + 6x = 0 Combine like terms: 2x + 6x = 8x 8 + 8x = 0 Solving 8 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 0 + -8 8x = 0 + -8 Combine like terms: 0 + -8 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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