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Simplifying 11(x + 2) + -3(3x + -1) = 7x + 2 Reorder the terms: 11(2 + x) + -3(3x + -1) = 7x + 2 (2 * 11 + x * 11) + -3(3x + -1) = 7x + 2 (22 + 11x) + -3(3x + -1) = 7x + 2 Reorder the terms: 22 + 11x + -3(-1 + 3x) = 7x + 2 22 + 11x + (-1 * -3 + 3x * -3) = 7x + 2 22 + 11x + (3 + -9x) = 7x + 2 Reorder the terms: 22 + 3 + 11x + -9x = 7x + 2 Combine like terms: 22 + 3 = 25 25 + 11x + -9x = 7x + 2 Combine like terms: 11x + -9x = 2x 25 + 2x = 7x + 2 Reorder the terms: 25 + 2x = 2 + 7x Solving 25 + 2x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 25 + 2x + -7x = 2 + 7x + -7x Combine like terms: 2x + -7x = -5x 25 + -5x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + -5x = 2 + 0 25 + -5x = 2 Add '-25' to each side of the equation. 25 + -25 + -5x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + -5x = 2 + -25 -5x = 2 + -25 Combine like terms: 2 + -25 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6
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