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Simplifying 50 = -6(1 + 8x) + -2(x + -3) 50 = (1 * -6 + 8x * -6) + -2(x + -3) 50 = (-6 + -48x) + -2(x + -3) Reorder the terms: 50 = -6 + -48x + -2(-3 + x) 50 = -6 + -48x + (-3 * -2 + x * -2) 50 = -6 + -48x + (6 + -2x) Reorder the terms: 50 = -6 + 6 + -48x + -2x Combine like terms: -6 + 6 = 0 50 = 0 + -48x + -2x 50 = -48x + -2x Combine like terms: -48x + -2x = -50x 50 = -50x Solving 50 = -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 50 + 50x = -50x + 50x Combine like terms: -50x + 50x = 0 50 + 50x = 0 Add '-50' to each side of the equation. 50 + -50 + 50x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 50x = 0 + -50 50x = 0 + -50 Combine like terms: 0 + -50 = -50 50x = -50 Divide each side by '50'. x = -1 Simplifying x = -1
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