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Simplifying -3(4x + -1) = -4(x + -6) + 11 Reorder the terms: -3(-1 + 4x) = -4(x + -6) + 11 (-1 * -3 + 4x * -3) = -4(x + -6) + 11 (3 + -12x) = -4(x + -6) + 11 Reorder the terms: 3 + -12x = -4(-6 + x) + 11 3 + -12x = (-6 * -4 + x * -4) + 11 3 + -12x = (24 + -4x) + 11 Reorder the terms: 3 + -12x = 24 + 11 + -4x Combine like terms: 24 + 11 = 35 3 + -12x = 35 + -4x Solving 3 + -12x = 35 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -12x + 4x = 35 + -4x + 4x Combine like terms: -12x + 4x = -8x 3 + -8x = 35 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -8x = 35 + 0 3 + -8x = 35 Add '-3' to each side of the equation. 3 + -3 + -8x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 35 + -3 -8x = 35 + -3 Combine like terms: 35 + -3 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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