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Simplifying 8(6x + 2) + 4(x + 3) = 0 Reorder the terms: 8(2 + 6x) + 4(x + 3) = 0 (2 * 8 + 6x * 8) + 4(x + 3) = 0 (16 + 48x) + 4(x + 3) = 0 Reorder the terms: 16 + 48x + 4(3 + x) = 0 16 + 48x + (3 * 4 + x * 4) = 0 16 + 48x + (12 + 4x) = 0 Reorder the terms: 16 + 12 + 48x + 4x = 0 Combine like terms: 16 + 12 = 28 28 + 48x + 4x = 0 Combine like terms: 48x + 4x = 52x 28 + 52x = 0 Solving 28 + 52x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 52x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 52x = 0 + -28 52x = 0 + -28 Combine like terms: 0 + -28 = -28 52x = -28 Divide each side by '52'. x = -0.5384615385 Simplifying x = -0.5384615385
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