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Simplifying -7(x + -6) = 7 + -6x Reorder the terms: -7(-6 + x) = 7 + -6x (-6 * -7 + x * -7) = 7 + -6x (42 + -7x) = 7 + -6x Solving 42 + -7x = 7 + -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 = 7 + -6x + 6x Combine like terms: -7x + 6x = -1x 42 + -1x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + -1x = 7 + 0 42 + -1x = 7 Add '-42' to each side of the equation. 42 + -42 + -1x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 7 + -42 -1x = 7 + -42 Combine like terms: 7 + -42 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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