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Simplifying 3(4x + 4) + 6(x + -5) = 0 Reorder the terms: 3(4 + 4x) + 6(x + -5) = 0 (4 * 3 + 4x * 3) + 6(x + -5) = 0 (12 + 12x) + 6(x + -5) = 0 Reorder the terms: 12 + 12x + 6(-5 + x) = 0 12 + 12x + (-5 * 6 + x * 6) = 0 12 + 12x + (-30 + 6x) = 0 Reorder the terms: 12 + -30 + 12x + 6x = 0 Combine like terms: 12 + -30 = -18 -18 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x -18 + 18x = 0 Solving -18 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 0 + 18 18x = 0 + 18 Combine like terms: 0 + 18 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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