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Simplifying -2(8 + 4x) + 5(6 + x) = 8 (8 * -2 + 4x * -2) + 5(6 + x) = 8 (-16 + -8x) + 5(6 + x) = 8 -16 + -8x + (6 * 5 + x * 5) = 8 -16 + -8x + (30 + 5x) = 8 Reorder the terms: -16 + 30 + -8x + 5x = 8 Combine like terms: -16 + 30 = 14 14 + -8x + 5x = 8 Combine like terms: -8x + 5x = -3x 14 + -3x = 8 Solving 14 + -3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 8 + -14 -3x = 8 + -14 Combine like terms: 8 + -14 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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