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Simplifying -6(7 + -1x) + -2(x + 6) = 50 (7 * -6 + -1x * -6) + -2(x + 6) = 50 (-42 + 6x) + -2(x + 6) = 50 Reorder the terms: -42 + 6x + -2(6 + x) = 50 -42 + 6x + (6 * -2 + x * -2) = 50 -42 + 6x + (-12 + -2x) = 50 Reorder the terms: -42 + -12 + 6x + -2x = 50 Combine like terms: -42 + -12 = -54 -54 + 6x + -2x = 50 Combine like terms: 6x + -2x = 4x -54 + 4x = 50 Solving -54 + 4x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 4x = 50 + 54 Combine like terms: -54 + 54 = 0 0 + 4x = 50 + 54 4x = 50 + 54 Combine like terms: 50 + 54 = 104 4x = 104 Divide each side by '4'. x = 26 Simplifying x = 26
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