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Simplifying 11(x + -2) + 7 = 9x + -3 Reorder the terms: 11(-2 + x) + 7 = 9x + -3 (-2 * 11 + x * 11) + 7 = 9x + -3 (-22 + 11x) + 7 = 9x + -3 Reorder the terms: -22 + 7 + 11x = 9x + -3 Combine like terms: -22 + 7 = -15 -15 + 11x = 9x + -3 Reorder the terms: -15 + 11x = -3 + 9x Solving -15 + 11x = -3 + 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. -15 + 11x + -9x = -3 + 9x + -9x Combine like terms: 11x + -9x = 2x -15 + 2x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 2x = -3 + 0 -15 + 2x = -3 Add '15' to each side of the equation. -15 + 15 + 2x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -3 + 15 2x = -3 + 15 Combine like terms: -3 + 15 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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