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Simplifying -6(x + 6) + 7 = -5(x + 7) Reorder the terms: -6(6 + x) + 7 = -5(x + 7) (6 * -6 + x * -6) + 7 = -5(x + 7) (-36 + -6x) + 7 = -5(x + 7) Reorder the terms: -36 + 7 + -6x = -5(x + 7) Combine like terms: -36 + 7 = -29 -29 + -6x = -5(x + 7) Reorder the terms: -29 + -6x = -5(7 + x) -29 + -6x = (7 * -5 + x * -5) -29 + -6x = (-35 + -5x) Solving -29 + -6x = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -29 + -6x + 5x = -35 + -5x + 5x Combine like terms: -6x + 5x = -1x -29 + -1x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 -29 + -1x = -35 + 0 -29 + -1x = -35 Add '29' to each side of the equation. -29 + 29 + -1x = -35 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = -35 + 29 -1x = -35 + 29 Combine like terms: -35 + 29 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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