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Simplifying -7(x + 6) = -6x + -6 Reorder the terms: -7(6 + x) = -6x + -6 (6 * -7 + x * -7) = -6x + -6 (-42 + -7x) = -6x + -6 Reorder the terms: -42 + -7x = -6 + -6x Solving -42 + -7x = -6 + -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 = -6 + -6x + 6x Combine like terms: -7x + 6x = -1x -42 + -1x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + -1x = -6 + 0 -42 + -1x = -6 Add '42' to each side of the equation. -42 + 42 + -1x = -6 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -6 + 42 -1x = -6 + 42 Combine like terms: -6 + 42 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36
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