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Simplifying -7(x + -6) = -6(x + -5) + 1 Reorder the terms: -7(-6 + x) = -6(x + -5) + 1 (-6 * -7 + x * -7) = -6(x + -5) + 1 (42 + -7x) = -6(x + -5) + 1 Reorder the terms: 42 + -7x = -6(-5 + x) + 1 42 + -7x = (-5 * -6 + x * -6) + 1 42 + -7x = (30 + -6x) + 1 Reorder the terms: 42 + -7x = 30 + 1 + -6x Combine like terms: 30 + 1 = 31 42 + -7x = 31 + -6x Solving 42 + -7x = 31 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 42 + -7x + 6x = 31 + -6x + 6x Combine like terms: -7x + 6x = -1x 42 + -1x = 31 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + -1x = 31 + 0 42 + -1x = 31 Add '-42' to each side of the equation. 42 + -42 + -1x = 31 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 31 + -42 -1x = 31 + -42 Combine like terms: 31 + -42 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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