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Simplifying (5x + -5) + -6 = 6(x + 7) Reorder the terms: (-5 + 5x) + -6 = 6(x + 7) Remove parenthesis around (-5 + 5x) -5 + 5x + -6 = 6(x + 7) Reorder the terms: -5 + -6 + 5x = 6(x + 7) Combine like terms: -5 + -6 = -11 -11 + 5x = 6(x + 7) Reorder the terms: -11 + 5x = 6(7 + x) -11 + 5x = (7 * 6 + x * 6) -11 + 5x = (42 + 6x) Solving -11 + 5x = 42 + 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. -11 + 5x + -6x = 42 + 6x + -6x Combine like terms: 5x + -6x = -1x -11 + -1x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -1x = 42 + 0 -11 + -1x = 42 Add '11' to each side of the equation. -11 + 11 + -1x = 42 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 42 + 11 -1x = 42 + 11 Combine like terms: 42 + 11 = 53 -1x = 53 Divide each side by '-1'. x = -53 Simplifying x = -53
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