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Simplifying 4(3x + -2) + -1(x + 3) = 11 Reorder the terms: 4(-2 + 3x) + -1(x + 3) = 11 (-2 * 4 + 3x * 4) + -1(x + 3) = 11 (-8 + 12x) + -1(x + 3) = 11 Reorder the terms: -8 + 12x + -1(3 + x) = 11 -8 + 12x + (3 * -1 + x * -1) = 11 -8 + 12x + (-3 + -1x) = 11 Reorder the terms: -8 + -3 + 12x + -1x = 11 Combine like terms: -8 + -3 = -11 -11 + 12x + -1x = 11 Combine like terms: 12x + -1x = 11x -11 + 11x = 11 Solving -11 + 11x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 11x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = 11 + 11 11x = 11 + 11 Combine like terms: 11 + 11 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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