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Simplifying 6(x + 3) + -4(x + 5) = 0 Reorder the terms: 6(3 + x) + -4(x + 5) = 0 (3 * 6 + x * 6) + -4(x + 5) = 0 (18 + 6x) + -4(x + 5) = 0 Reorder the terms: 18 + 6x + -4(5 + x) = 0 18 + 6x + (5 * -4 + x * -4) = 0 18 + 6x + (-20 + -4x) = 0 Reorder the terms: 18 + -20 + 6x + -4x = 0 Combine like terms: 18 + -20 = -2 -2 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -2 + 2x = 0 Solving -2 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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