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Simplifying -3(x + -2) + 7(x + 3) = 11 Reorder the terms: -3(-2 + x) + 7(x + 3) = 11 (-2 * -3 + x * -3) + 7(x + 3) = 11 (6 + -3x) + 7(x + 3) = 11 Reorder the terms: 6 + -3x + 7(3 + x) = 11 6 + -3x + (3 * 7 + x * 7) = 11 6 + -3x + (21 + 7x) = 11 Reorder the terms: 6 + 21 + -3x + 7x = 11 Combine like terms: 6 + 21 = 27 27 + -3x + 7x = 11 Combine like terms: -3x + 7x = 4x 27 + 4x = 11 Solving 27 + 4x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 11 + -27 4x = 11 + -27 Combine like terms: 11 + -27 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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