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Simplifying 4(6x + 8) + -2(4x + -6) = 0 Reorder the terms: 4(8 + 6x) + -2(4x + -6) = 0 (8 * 4 + 6x * 4) + -2(4x + -6) = 0 (32 + 24x) + -2(4x + -6) = 0 Reorder the terms: 32 + 24x + -2(-6 + 4x) = 0 32 + 24x + (-6 * -2 + 4x * -2) = 0 32 + 24x + (12 + -8x) = 0 Reorder the terms: 32 + 12 + 24x + -8x = 0 Combine like terms: 32 + 12 = 44 44 + 24x + -8x = 0 Combine like terms: 24x + -8x = 16x 44 + 16x = 0 Solving 44 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 16x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 16x = 0 + -44 16x = 0 + -44 Combine like terms: 0 + -44 = -44 16x = -44 Divide each side by '16'. x = -2.75 Simplifying x = -2.75
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