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Simplifying 3(x + -4) + 2(2x + 1) = 11 Reorder the terms: 3(-4 + x) + 2(2x + 1) = 11 (-4 * 3 + x * 3) + 2(2x + 1) = 11 (-12 + 3x) + 2(2x + 1) = 11 Reorder the terms: -12 + 3x + 2(1 + 2x) = 11 -12 + 3x + (1 * 2 + 2x * 2) = 11 -12 + 3x + (2 + 4x) = 11 Reorder the terms: -12 + 2 + 3x + 4x = 11 Combine like terms: -12 + 2 = -10 -10 + 3x + 4x = 11 Combine like terms: 3x + 4x = 7x -10 + 7x = 11 Solving -10 + 7x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 11 + 10 7x = 11 + 10 Combine like terms: 11 + 10 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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