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Simplifying 11x + 7 = 5x + -1(3x + 2) Reorder the terms: 7 + 11x = 5x + -1(3x + 2) Reorder the terms: 7 + 11x = 5x + -1(2 + 3x) 7 + 11x = 5x + (2 * -1 + 3x * -1) 7 + 11x = 5x + (-2 + -3x) Reorder the terms: 7 + 11x = -2 + 5x + -3x Combine like terms: 5x + -3x = 2x 7 + 11x = -2 + 2x Solving 7 + 11x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 11x + -2x = -2 + 2x + -2x Combine like terms: 11x + -2x = 9x 7 + 9x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 9x = -2 + 0 7 + 9x = -2 Add '-7' to each side of the equation. 7 + -7 + 9x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -2 + -7 9x = -2 + -7 Combine like terms: -2 + -7 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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