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