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Simplifying 3(x + -4) + -2(3x + -1) = 11 Reorder the terms: 3(-4 + x) + -2(3x + -1) = 11 (-4 * 3 + x * 3) + -2(3x + -1) = 11 (-12 + 3x) + -2(3x + -1) = 11 Reorder the terms: -12 + 3x + -2(-1 + 3x) = 11 -12 + 3x + (-1 * -2 + 3x * -2) = 11 -12 + 3x + (2 + -6x) = 11 Reorder the terms: -12 + 2 + 3x + -6x = 11 Combine like terms: -12 + 2 = -10 -10 + 3x + -6x = 11 Combine like terms: 3x + -6x = -3x -10 + -3x = 11 Solving -10 + -3x = 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 + -3x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 11 + 10 -3x = 11 + 10 Combine like terms: 11 + 10 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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