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Simplifying 15 + -13x + -7 = -2(11x + 1) Reorder the terms: 15 + -7 + -13x = -2(11x + 1) Combine like terms: 15 + -7 = 8 8 + -13x = -2(11x + 1) Reorder the terms: 8 + -13x = -2(1 + 11x) 8 + -13x = (1 * -2 + 11x * -2) 8 + -13x = (-2 + -22x) Solving 8 + -13x = -2 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 8 + -13x + 22x = -2 + -22x + 22x Combine like terms: -13x + 22x = 9x 8 + 9x = -2 + -22x + 22x Combine like terms: -22x + 22x = 0 8 + 9x = -2 + 0 8 + 9x = -2 Add '-8' to each side of the equation. 8 + -8 + 9x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = -2 + -8 9x = -2 + -8 Combine like terms: -2 + -8 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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