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Simplifying 2(x + 3) + -5(2x + 6) = 0 Reorder the terms: 2(3 + x) + -5(2x + 6) = 0 (3 * 2 + x * 2) + -5(2x + 6) = 0 (6 + 2x) + -5(2x + 6) = 0 Reorder the terms: 6 + 2x + -5(6 + 2x) = 0 6 + 2x + (6 * -5 + 2x * -5) = 0 6 + 2x + (-30 + -10x) = 0 Reorder the terms: 6 + -30 + 2x + -10x = 0 Combine like terms: 6 + -30 = -24 -24 + 2x + -10x = 0 Combine like terms: 2x + -10x = -8x -24 + -8x = 0 Solving -24 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 0 + 24 -8x = 0 + 24 Combine like terms: 0 + 24 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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