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Simplifying -7(x + -3) = 1 + -6x Reorder the terms: -7(-3 + x) = 1 + -6x (-3 * -7 + x * -7) = 1 + -6x (21 + -7x) = 1 + -6x Solving 21 + -7x = 1 + -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. 21 + -7x + 6x = 1 + -6x + 6x Combine like terms: -7x + 6x = -1x 21 + -1x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + -1x = 1 + 0 21 + -1x = 1 Add '-21' to each side of the equation. 21 + -21 + -1x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 1 + -21 -1x = 1 + -21 Combine like terms: 1 + -21 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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