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