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