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Simplifying 7(6x + -1) + -4(2x + 8) = -5 Reorder the terms: 7(-1 + 6x) + -4(2x + 8) = -5 (-1 * 7 + 6x * 7) + -4(2x + 8) = -5 (-7 + 42x) + -4(2x + 8) = -5 Reorder the terms: -7 + 42x + -4(8 + 2x) = -5 -7 + 42x + (8 * -4 + 2x * -4) = -5 -7 + 42x + (-32 + -8x) = -5 Reorder the terms: -7 + -32 + 42x + -8x = -5 Combine like terms: -7 + -32 = -39 -39 + 42x + -8x = -5 Combine like terms: 42x + -8x = 34x -39 + 34x = -5 Solving -39 + 34x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 34x = -5 + 39 Combine like terms: -39 + 39 = 0 0 + 34x = -5 + 39 34x = -5 + 39 Combine like terms: -5 + 39 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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