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Simplifying -2(1 + 7x) + -6(-7 + -1x) = 36 (1 * -2 + 7x * -2) + -6(-7 + -1x) = 36 (-2 + -14x) + -6(-7 + -1x) = 36 -2 + -14x + (-7 * -6 + -1x * -6) = 36 -2 + -14x + (42 + 6x) = 36 Reorder the terms: -2 + 42 + -14x + 6x = 36 Combine like terms: -2 + 42 = 40 40 + -14x + 6x = 36 Combine like terms: -14x + 6x = -8x 40 + -8x = 36 Solving 40 + -8x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -8x = 36 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = 36 + -40 -8x = 36 + -40 Combine like terms: 36 + -40 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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