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Simplifying 8(3 + -1x) + -2(3x + -2) = 0 (3 * 8 + -1x * 8) + -2(3x + -2) = 0 (24 + -8x) + -2(3x + -2) = 0 Reorder the terms: 24 + -8x + -2(-2 + 3x) = 0 24 + -8x + (-2 * -2 + 3x * -2) = 0 24 + -8x + (4 + -6x) = 0 Reorder the terms: 24 + 4 + -8x + -6x = 0 Combine like terms: 24 + 4 = 28 28 + -8x + -6x = 0 Combine like terms: -8x + -6x = -14x 28 + -14x = 0 Solving 28 + -14x = 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 + -14x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -14x = 0 + -28 -14x = 0 + -28 Combine like terms: 0 + -28 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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