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Simplifying -7(5 + -2X) = 7(1 + -4X) (5 * -7 + -2X * -7) = 7(1 + -4X) (-35 + 14X) = 7(1 + -4X) -35 + 14X = (1 * 7 + -4X * 7) -35 + 14X = (7 + -28X) Solving -35 + 14X = 7 + -28X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '28X' to each side of the equation. -35 + 14X + 28X = 7 + -28X + 28X Combine like terms: 14X + 28X = 42X -35 + 42X = 7 + -28X + 28X Combine like terms: -28X + 28X = 0 -35 + 42X = 7 + 0 -35 + 42X = 7 Add '35' to each side of the equation. -35 + 35 + 42X = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 42X = 7 + 35 42X = 7 + 35 Combine like terms: 7 + 35 = 42 42X = 42 Divide each side by '42'. X = 1 Simplifying X = 1
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