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Simplifying 56 + -1(7x + -9) = 9 + (11x + -3) + -1(6x + 13) Reorder the terms: 56 + -1(-9 + 7x) = 9 + (11x + -3) + -1(6x + 13) 56 + (-9 * -1 + 7x * -1) = 9 + (11x + -3) + -1(6x + 13) 56 + (9 + -7x) = 9 + (11x + -3) + -1(6x + 13) Combine like terms: 56 + 9 = 65 65 + -7x = 9 + (11x + -3) + -1(6x + 13) Reorder the terms: 65 + -7x = 9 + (-3 + 11x) + -1(6x + 13) Remove parenthesis around (-3 + 11x) 65 + -7x = 9 + -3 + 11x + -1(6x + 13) Reorder the terms: 65 + -7x = 9 + -3 + 11x + -1(13 + 6x) 65 + -7x = 9 + -3 + 11x + (13 * -1 + 6x * -1) 65 + -7x = 9 + -3 + 11x + (-13 + -6x) Reorder the terms: 65 + -7x = 9 + -3 + -13 + 11x + -6x Combine like terms: 9 + -3 = 6 65 + -7x = 6 + -13 + 11x + -6x Combine like terms: 6 + -13 = -7 65 + -7x = -7 + 11x + -6x Combine like terms: 11x + -6x = 5x 65 + -7x = -7 + 5x Solving 65 + -7x = -7 + 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. 65 + -7x + -5x = -7 + 5x + -5x Combine like terms: -7x + -5x = -12x 65 + -12x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 65 + -12x = -7 + 0 65 + -12x = -7 Add '-65' to each side of the equation. 65 + -65 + -12x = -7 + -65 Combine like terms: 65 + -65 = 0 0 + -12x = -7 + -65 -12x = -7 + -65 Combine like terms: -7 + -65 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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