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Simplifying 6 + -4(4x + -3(x + 2)) = 0 Reorder the terms: 6 + -4(4x + -3(2 + x)) = 0 6 + -4(4x + (2 * -3 + x * -3)) = 0 6 + -4(4x + (-6 + -3x)) = 0 Reorder the terms: 6 + -4(-6 + 4x + -3x) = 0 Combine like terms: 4x + -3x = 1x 6 + -4(-6 + 1x) = 0 6 + (-6 * -4 + 1x * -4) = 0 6 + (24 + -4x) = 0 Combine like terms: 6 + 24 = 30 30 + -4x = 0 Solving 30 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -4x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 0 + -30 -4x = 0 + -30 Combine like terms: 0 + -30 = -30 -4x = -30 Divide each side by '-4'. x = 7.5 Simplifying x = 7.5
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