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Simplifying 36 = -1(1 + 7x) + -6(-7 + -1x) 36 = (1 * -1 + 7x * -1) + -6(-7 + -1x) 36 = (-1 + -7x) + -6(-7 + -1x) 36 = -1 + -7x + (-7 * -6 + -1x * -6) 36 = -1 + -7x + (42 + 6x) Reorder the terms: 36 = -1 + 42 + -7x + 6x Combine like terms: -1 + 42 = 41 36 = 41 + -7x + 6x Combine like terms: -7x + 6x = -1x 36 = 41 + -1x Solving 36 = 41 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 36 + x = 41 + -1x + x Combine like terms: -1x + x = 0 36 + x = 41 + 0 36 + x = 41 Add '-36' to each side of the equation. 36 + -36 + x = 41 + -36 Combine like terms: 36 + -36 = 0 0 + x = 41 + -36 x = 41 + -36 Combine like terms: 41 + -36 = 5 x = 5 Simplifying x = 5
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