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Simplifying -1(1 + -1x) + -5(3x + -7) = -36 (1 * -1 + -1x * -1) + -5(3x + -7) = -36 (-1 + 1x) + -5(3x + -7) = -36 Reorder the terms: -1 + 1x + -5(-7 + 3x) = -36 -1 + 1x + (-7 * -5 + 3x * -5) = -36 -1 + 1x + (35 + -15x) = -36 Reorder the terms: -1 + 35 + 1x + -15x = -36 Combine like terms: -1 + 35 = 34 34 + 1x + -15x = -36 Combine like terms: 1x + -15x = -14x 34 + -14x = -36 Solving 34 + -14x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -14x = -36 + -34 Combine like terms: 34 + -34 = 0 0 + -14x = -36 + -34 -14x = -36 + -34 Combine like terms: -36 + -34 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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