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Simplifying -6(x + 7) + 9 = -1(7x + -7) Reorder the terms: -6(7 + x) + 9 = -1(7x + -7) (7 * -6 + x * -6) + 9 = -1(7x + -7) (-42 + -6x) + 9 = -1(7x + -7) Reorder the terms: -42 + 9 + -6x = -1(7x + -7) Combine like terms: -42 + 9 = -33 -33 + -6x = -1(7x + -7) Reorder the terms: -33 + -6x = -1(-7 + 7x) -33 + -6x = (-7 * -1 + 7x * -1) -33 + -6x = (7 + -7x) Solving -33 + -6x = 7 + -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. -33 + -6x + 7x = 7 + -7x + 7x Combine like terms: -6x + 7x = 1x -33 + 1x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -33 + 1x = 7 + 0 -33 + 1x = 7 Add '33' to each side of the equation. -33 + 33 + 1x = 7 + 33 Combine like terms: -33 + 33 = 0 0 + 1x = 7 + 33 1x = 7 + 33 Combine like terms: 7 + 33 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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