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Simplifying 8 + (-12x + 13) = -1 + -1(-9x + -7) Reorder the terms: 8 + (13 + -12x) = -1 + -1(-9x + -7) Remove parenthesis around (13 + -12x) 8 + 13 + -12x = -1 + -1(-9x + -7) Combine like terms: 8 + 13 = 21 21 + -12x = -1 + -1(-9x + -7) Reorder the terms: 21 + -12x = -1 + -1(-7 + -9x) 21 + -12x = -1 + (-7 * -1 + -9x * -1) 21 + -12x = -1 + (7 + 9x) Combine like terms: -1 + 7 = 6 21 + -12x = 6 + 9x Solving 21 + -12x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + -12x + -9x = 6 + 9x + -9x Combine like terms: -12x + -9x = -21x 21 + -21x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -21x = 6 + 0 21 + -21x = 6 Add '-21' to each side of the equation. 21 + -21 + -21x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -21x = 6 + -21 -21x = 6 + -21 Combine like terms: 6 + -21 = -15 -21x = -15 Divide each side by '-21'. x = 0.7142857143 Simplifying x = 0.7142857143
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