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Simplifying 50 = -8(4 + 2x) + -6(3 + -6x) 50 = (4 * -8 + 2x * -8) + -6(3 + -6x) 50 = (-32 + -16x) + -6(3 + -6x) 50 = -32 + -16x + (3 * -6 + -6x * -6) 50 = -32 + -16x + (-18 + 36x) Reorder the terms: 50 = -32 + -18 + -16x + 36x Combine like terms: -32 + -18 = -50 50 = -50 + -16x + 36x Combine like terms: -16x + 36x = 20x 50 = -50 + 20x Solving 50 = -50 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 50 + -20x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 50 + -20x = -50 + 0 50 + -20x = -50 Add '-50' to each side of the equation. 50 + -50 + -20x = -50 + -50 Combine like terms: 50 + -50 = 0 0 + -20x = -50 + -50 -20x = -50 + -50 Combine like terms: -50 + -50 = -100 -20x = -100 Divide each side by '-20'. x = 5 Simplifying x = 5
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