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Simplifying 8(x + 6) + -2(3x + -4) = 0 Reorder the terms: 8(6 + x) + -2(3x + -4) = 0 (6 * 8 + x * 8) + -2(3x + -4) = 0 (48 + 8x) + -2(3x + -4) = 0 Reorder the terms: 48 + 8x + -2(-4 + 3x) = 0 48 + 8x + (-4 * -2 + 3x * -2) = 0 48 + 8x + (8 + -6x) = 0 Reorder the terms: 48 + 8 + 8x + -6x = 0 Combine like terms: 48 + 8 = 56 56 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x 56 + 2x = 0 Solving 56 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 2x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 2x = 0 + -56 2x = 0 + -56 Combine like terms: 0 + -56 = -56 2x = -56 Divide each side by '2'. x = -28 Simplifying x = -28
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